456972659 has 16 divisors (see below), whose sum is σ = 540443904. Its totient is φ = 380916000.

The previous prime is 456972623. The next prime is 456972661. The reversal of 456972659 is 956279654.

It is a cyclic number.

It is not a de Polignac number, because 456972659 - 2⁸ = 456972403 is a prime.

It is a super-2 number, since 2×456972659² = 417648022147060562, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456972659.

It is not an unprimeable number, because it can be changed into a prime (456972959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11012 + ... + 32174.

It is an arithmetic number, because the mean of its divisors is an integer number (33777744).

Almost surely, 2^456972659 is an apocalyptic number.

456972659 is a deficient number, since it is larger than the sum of its proper divisors (83471245).

456972659 is a wasteful number, since it uses less digits than its factorization.

456972659 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21338.

The product of its digits is 4082400, while the sum is 53.

The square root of 456972659 is about 21376.9188378494. The cubic root of 456972659 is about 770.2471006574.

The spelling of 456972659 in words is "four hundred fifty-six million, nine hundred seventy-two thousand, six hundred fifty-nine".