456652944 has 80 divisors (see below), whose sum is σ = 1429938240. Its totient is φ = 138378240.

The previous prime is 456652939. The next prime is 456652951. The reversal of 456652944 is 449256654.

It is a super-2 number, since 2×456652944² = 417063822527734272, 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 456652944.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43297 + ... + 52800.

It is an arithmetic number, because the mean of its divisors is an integer number (17874228).

Almost surely, 2^456652944 is an apocalyptic number.

456652944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

456652944 is an abundant number, since it is smaller than the sum of its proper divisors (973285296).

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

456652944 is a wasteful number, since it uses less digits than its factorization.

456652944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96125 (or 96113 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 456652944 is about 21369.4394872678. The cubic root of 456652944 is about 770.0674276142.

The spelling of 456652944 in words is "four hundred fifty-six million, six hundred fifty-two thousand, nine hundred forty-four".