456811664 has 40 divisors (see below), whose sum is σ = 906638400. Its totient is φ = 222887808.

The previous prime is 456811637. The next prime is 456811673. The reversal of 456811664 is 466118654.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 167399 + ... + 170105.

It is an arithmetic number, because the mean of its divisors is an integer number (22665960).

Almost surely, 2^456811664 is an apocalyptic number.

It is an amenable number.

456811664 is a deficient number, since it is larger than the sum of its proper divisors (449826736).

456811664 is a wasteful number, since it uses less digits than its factorization.

456811664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2961 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 456811664 is about 21373.1528792549. The cubic root of 456811664 is about 770.1566353635.

The spelling of 456811664 in words is "four hundred fifty-six million, eight hundred eleven thousand, six hundred sixty-four".