456364656 has 60 divisors (see below), whose sum is σ = 1393299960. Its totient is φ = 138291840.

The previous prime is 456364651. The next prime is 456364663. The reversal of 456364656 is 656463654.

456364656 is a `hidden beast` number, since 4 + 5 + 636 + 4 + 6 + 5 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456364651) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142471 + ... + 145638.

It is an arithmetic number, because the mean of its divisors is an integer number (23221666).

Almost surely, 2^456364656 is an apocalyptic number.

It is an amenable number.

456364656 is an abundant number, since it is smaller than the sum of its proper divisors (936935304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456364656 is a wasteful number, since it uses less digits than its factorization.

456364656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288134 (or 288125 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 456364656 is about 21362.6930886534. The cubic root of 456364656 is about 769.9053439612.

The spelling of 456364656 in words is "four hundred fifty-six million, three hundred sixty-four thousand, six hundred fifty-six".