456375564 has 18 divisors (see below), whose sum is σ = 1153616100. Its totient is φ = 152125176.

The previous prime is 456375559. The next prime is 456375599. The reversal of 456375564 is 465573654.

456375564 is a `hidden beast` number, since 4 + 5 + 637 + 5 + 5 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6338514 + ... + 6338585.

Almost surely, 2^456375564 is an apocalyptic number.

It is an amenable number.

456375564 is an abundant number, since it is smaller than the sum of its proper divisors (697240536).

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

456375564 is a wasteful number, since it uses less digits than its factorization.

456375564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12677109 (or 12677104 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The square root of 456375564 is about 21362.9483920174. The cubic root of 456375564 is about 769.9114779891.

The spelling of 456375564 in words is "four hundred fifty-six million, three hundred seventy-five thousand, five hundred sixty-four".