456388164 has 18 divisors (see below), whose sum is σ = 1153647950. Its totient is φ = 152129376.

The previous prime is 456388091. The next prime is 456388181. The reversal of 456388164 is 461883654.

456388164 is a `hidden beast` number, since 4 + 5 + 638 + 8 + 1 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 408363264 + 48024900 = 20208^2 + 6930^2 .

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 6338689 + ... + 6338760.

Almost surely, 2^456388164 is an apocalyptic number.

It is an amenable number.

456388164 is an abundant number, since it is smaller than the sum of its proper divisors (697259786).

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

456388164 is a wasteful number, since it uses less digits than its factorization.

456388164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12677459 (or 12677454 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 456388164 is about 21363.2432930957. The cubic root of 456388164 is about 769.9185633782.

The spelling of 456388164 in words is "four hundred fifty-six million, three hundred eighty-eight thousand, one hundred sixty-four".