400 (number)


400 is the natural number following 399 and preceding 401.

Mathematical properties

A circle is divided into 400 grads.

Integers from [|401] to 499

400s

401

401 is a prime number, tetranacci number, Chen prime, prime index prime

402

402 = 2 × 3 × 67, sphenic number, nontotient, Harshad number, number of graphs with 8 nodes and 9 edges

403

403 = 13 × 31, heptagonal number, Mertens function returns 0.

404

404 = 22 × 101, Mertens function returns 0, nontotient, noncototient, number of integer partitions of 20 with an alternating permutation.
  • The HTTP 404 status code is usually sent from a web page if a user attempts to reach a broken or dead link. It has since become one of the most commonly reached, and thus most recognizable errors on the World Wide Web.
  • One of the four area codes of the Atlanta calling area.

405

405 = 34 × 5, Mertens function returns 0, Harshad number, pentagonal pyramidal number;

406

406 = 2 × 7 × 29, sphenic number, 28th triangular number, centered nonagonal number, even nontotient, Narayana's cow number

407

407 = 11 × 37,

408

408 = 23 × 3 × 17

409

409 is a prime number, Chen prime, centered triangular number.

410s

410

410 = 2 × 5 × 41, sphenic number, sum of six consecutive primes, nontotient, Harshad number, number of triangle-free graphs on 8 vertices

411

411 = 3 × 137, self number,

412

412 = 22 × 103, nontotient, noncototient, sum of twelve consecutive primes, 41264 + 1 is prime

413

413 = 7 × 59, Mertens function returns 0, self number, Blum integer

414

414 = 2 × 32 × 23, Mertens function returns 0, nontotient, Harshad number, number of balanced partitions of 31

415

415 = 5 × 83, logarithmic number

416

416 = 25 × 13, number of and in the 6-

417

417 = 3 × 139, Blum integer

418

418 = 2 × 11 × 19; sphenic number, balanced number. It is also the fourth 71-gonal number.

419

A prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, highly cototient number, Mertens function returns 0

420s

421

422

422 = 2 × 211, Mertens function returns 0, nontotient, since 422 = 202 + 20 + 2 it is the maximum number of regions into which 21 .

423

423 = 32 × 47, Mertens function returns 0, Harshad number, number of secondary structures of RNA molecules with 10 nucleotides

424

424 = 23 × 53, sum of ten consecutive primes, Mertens function returns 0, refactorable number, self number

425

425 = 52 × 17, pentagonal number, centered tetrahedral number, sum of three consecutive primes, Mertens function returns 0, the second number that can be expressed as the sum of two squares in three different ways.

426

426 = 2 × 3 × 71, sphenic number, nontotient, untouchable number

427

427 = 7 × 61, Mertens function returns 0. 427! + 1 is prime.

428

428 = 22 × 107, Mertens function returns 0, nontotient, 42832 + 1 is prime

429

429 = 3 × 11 × 13, sphenic number, Catalan number

430s

430

430 = 2 × 5 × 43, number of primes below 3000, sphenic number, untouchable number

431

A prime number, Sophie Germain prime, sum of seven consecutive primes, Chen prime, prime index prime, Eisenstein prime with no imaginary part

432

432 = 24 × 33 = 42 × 33, the sum of four consecutive primes, a Harshad number, a highly totient number, an Achilles number and the sum of totient function for first 37 integers. 432! is the first factorial that is not a Harshad number in base 10. 432 is also three-dozen sets of a dozen, making it three gross. An equilateral triangle whose area and perimeter are equal, has an area equal to.

433

A prime number, Markov number, star number.

434

434 = 2 × 7 × 31, sphenic number, sum of six consecutive primes, nontotient, maximal number of pieces that can be obtained by cutting an annulus with 28 cuts

435

435 = 3 × 5 × 29, sphenic number, 29th triangular number, hexagonal number, self number, number of compositions of 16 into distinct parts

436

436 = 22 × 109, nontotient, noncototient, lazy caterer number

437

437 = 19 × 23, Blum integer

438

438 = 2 × 3 × 73, sphenic number, Smith number.

439

A prime number, sum of three consecutive primes, sum of nine consecutive primes, strictly non-palindromic number

440s

441

441 = 32 × 72 = 212

442

442 = 2 × 13 × 17 = 212 + 1, sphenic number, sum of eight consecutive primes

443

A prime number, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, Mertens function sets new low of -9, which stands until 659.
  • In computing, it is the default port for HTTPS connections.

444

444 = 22 × 3 × 37, refactorable number, Harshad number, number of noniamonds without holes, and a repdigit.

445

445 = 5 × 89, number of series-reduced trees with 17 nodes

446

446 = 2 × 223, nontotient, self number

447

447 = 3 × 149, number of 1's in all partitions of 22 into odd parts

448

448 = 26 × 7, untouchable number, refactorable number, Harshad number

449

A prime number, sum of five consecutive primes, Chen prime, Eisenstein prime with no imaginary part, Proth prime. Also the largest number whose factorial is less than 101000

450s

450

450 = 2 × 32 × 52, nontotient, sum of totient function for first 38 integers, refactorable number, Harshad number,

451

451 = 11 × 41; 451 is a Wedderburn–Etherington number and a centered decagonal number; its reciprocal has period 10; 451 is the smallest number with this period reciprocal length.

452

452 = 22 × 113, number of surface-points of a tetrahedron with edge-length 15
  • SMTP code meaning that the requested mail action was not carried out because of insufficient system storage

453

453 = 3 × 151, Blum integer

454

454 = 2 × 227, nontotient, a Smith number

455

455 = 5 × 7 × 13, sphenic number, tetrahedral number

456

456 = 23 × 3 × 19, sum of a twin prime, sum of four consecutive primes, centered pentagonal number, icosahedral number

457

  • A prime number, sum of three consecutive primes, self number.
  • The international standard frequency for radio avalanche transceivers.

458

458 = 2 × 229, nontotient, number of partitions of 24 into divisors of 24

459

459 = 33 × 17, triangular matchstick number

460s

460

460 = 22 × 5 × 23, centered triangular number, dodecagonal number, Harshad number, sum of twelve consecutive primes

461

A prime number, Chen prime, sexy prime with 467, Eisenstein prime with no imaginary part, prime index prime

462

462 = 2 × 3 × 7 × 11, binomial coefficient, stirling number of the second kind, sum of six consecutive primes, pronic number, sparsely totient number, idoneal number

463

A prime number, sum of seven consecutive primes, centered heptagonal number. This number is the first of seven consecutive primes that are one less than a multiple of 4.

464

464 = 24 × 29, primitive abundant number, since 464 = 212 + 21 + 2 it is the maximum number of regions into which 22 , maximal number of pieces that can be obtained by cutting an annulus with 29 cuts
  • In chess it is the number of legal positions of the kings, not counting mirrored positions. Has some importance when constructing an endgame tablebase.
  • Model number of the home computer Amstrad CPC 464.

465

465 = 3 × 5 × 31, sphenic number, 30th triangular number, member of the Padovan sequence, Harshad number

466

466 = 2 × 233, noncototient, lazy caterer number.

467

A prime number, safe prime, sexy prime with 461, Chen prime, Eisenstein prime with no imaginary part

468

468 = 22 × 32 × 13, sum of ten consecutive primes, refactorable number, self number, Harshad number

469

469 = 7 × 67, centered hexagonal number.
469! - 1 is prime.

470s

470

470 = 2 × 5 × 47, sphenic number, nontotient, noncototient, cake number
  • In golf, 470 is the minimum length in yards from the tee to the hole on a Par 5.
  • 470 is an Olympic class of sailing dinghy

471

471 = 3 × 157, sum of three consecutive primes, perfect totient number, φ = φ.

472

472 = 23 × 59, nontotient, untouchable number, refactorable number, number of distinct ways to cut a 5 × 5 square into squares with integer sides
  • The Amstrad CPC472 was a short-lived home computer for the Spanish market.

473

473 = 11 × 43, sum of five consecutive primes, Blum integer

474

474 = 2 × 3 × 79, sphenic number, sum of eight consecutive primes, nontotient, noncototient, sum of totient function for first 39 integers, untouchable number, nonagonal number

475

475 = 52 × 19, 49-gonal number, member of the Mian–Chowla sequence.

476

476 = 22 × 7 × 17, Harshad number, admirable number

477

477 = 32 × 53, pentagonal number

478

478 = 2 × 239, Companion Pell number, number of partitions of 26 that do not contain 1 as a part

479

A prime number, safe prime, sum of nine consecutive primes, Chen prime, Eisenstein prime with no imaginary part, self number

480s

480

480 = 25 × 3 × 5, sum of a twin prime, sum of four consecutive primes, highly totient number, refactorable number, Harshad number, largely composite number

481

481 = 13 × 37, octagonal number, centered square number, Harshad number

482

482 = 2 × 241, nontotient, noncototient, number of series-reduced planted trees with 15 nodes

483

483 = 3 × 7 × 23, sphenic number, Smith number

484

484 = 22 × 112 = 222, palindromic square, nontotient

485

485 = 5 × 97, number of triangles in Sierpiński's triangle after 5 inscriptions

486

486 = 2 × 35, Harshad number, Perrin number

487

A prime number, sum of three consecutive primes, Chen prime,

488

488 = 23 × 61, nontotient, refactorable number, φ = φ, number of surface points on a cube with edge-length 10.

489

489 = 3 × 163, octahedral number

490s

490

490 = 2 × 5 × 72, noncototient, sum of totient function for first 40 integers, number of integer partitions of 19, self number.

491

A prime number, isolated prime, Sophie Germain prime, Chen prime, Eisenstein prime with no imaginary part, strictly non-palindromic number

492

492 = 22 × 3 × 41, sum of six consecutive primes, refactorable number, member of a Ruth–Aaron pair with 493 under first definition

493

493 = 17 × 29, sum of seven consecutive primes, member of a Ruth–Aaron pair with 492 under first definition, the 493d centered octagonal number is also a centered square number

494

494 = 2 × 13 × 19 = [eulerian number#Eulerian numbers of the second order|], sphenic number, nontotient

497

497 = 7 × 71, sum of five consecutive primes, lazy caterer number.

498

498 = 2 × 3 × 83, sphenic number, untouchable number, admirable number, abundant number

499

A prime number, isolated prime, Chen prime, 4499 - 3499 is prime