456657696 has 96 divisors (see below), whose sum is σ = 1453032000. Its totient is φ = 138378240.

The previous prime is 456657653. The next prime is 456657701. The reversal of 456657696 is 696756654.

456657696 is a `hidden beast` number, since 4 + 5 + 66 + 576 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14521 + ... + 33528.

It is an arithmetic number, because the mean of its divisors is an integer number (15135750).

Almost surely, 2^456657696 is an apocalyptic number.

It is an amenable number.

456657696 is an abundant number, since it is smaller than the sum of its proper divisors (996374304).

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

456657696 is a wasteful number, since it uses less digits than its factorization.

456657696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48079 (or 48065 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 456657696 is about 21369.5506737975. The cubic root of 456657696 is about 770.0700987512.

It can be divided in two parts, 45665 and 7696, that added together give a square (53361 = 231²).

The spelling of 456657696 in words is "four hundred fifty-six million, six hundred fifty-seven thousand, six hundred ninety-six".