456153264 has 60 divisors (see below), whose sum is σ = 1458969616. Its totient is φ = 130329216.

The previous prime is 456153233. The next prime is 456153277. The reversal of 456153264 is 462351654.

456153264 is a `hidden beast` number, since 4 + 5 + 61 + 532 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225259 + ... + 227274.

Almost surely, 2^456153264 is an apocalyptic number.

It is an amenable number.

456153264 is an abundant number, since it is smaller than the sum of its proper divisors (1002816352).

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

456153264 is a wasteful number, since it uses less digits than its factorization.

456153264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452554 (or 452545 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 456153264 is about 21357.7448247702. The cubic root of 456153264 is about 769.7864500284.

The spelling of 456153264 in words is "four hundred fifty-six million, one hundred fifty-three thousand, two hundred sixty-four".