Properties of the Number 456

Four Hundred Fifty-Six

Basics

Value: 455 → 456 → 457

Parity: even

Prime: No

Previous Prime: 449

Next Prime: 457

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 19

Divisors: 1, 2, 3, 4, 6, 8, 12, 19, 24, 38

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111001000

Octal: 710

Duodecimal: 320

Hexadecimal: 1c8

Square: 207936

Square Root: 21.354156504062622

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of ways of writing n as a sum of 4 squares; also θ series of four-dimensional cubic lattice Z⁴. A118

Number of partitions of n into prime parts. A607

Numbers that are the sum of 2 successive primes. A1043

Generalized octagonal numbers: k*(3·k-2), k=0, +- 1, +- 2, +-3, ... A1082

Numbers that are products of 5 primes (or 5-almost primes, a generalization of semiprimes). A14614

Centered pentagonal numbers: (5n²+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net. A5891

Rhombic matchstick numbers: a(n) = n*(3·n+2). A45944

a(n) = floor(n²/3). A212

Record gaps between primes. A5250

Area A of the triangles such that A and the sides are integers. A188158