56442464 has 96 divisors (see below), whose sum is σ = 130042080. Its totient is φ = 23887872.

The previous prime is 56442401. The next prime is 56442469. The reversal of 56442464 is 46424465.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56442469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292352 + ... + 292544.

It is an arithmetic number, because the mean of its divisors is an integer number (1354605).

Almost surely, 2^56442464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65021040).

56442464 is an abundant number, since it is smaller than the sum of its proper divisors (73599616).

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

56442464 is a wasteful number, since it uses less digits than its factorization.

56442464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 264 counting only the distinct ones).

The product of its digits is 92160, while the sum is 35.

The square root of 56442464 is about 7512.8199765468. The cubic root of 56442464 is about 383.5912171884.

The spelling of 56442464 in words is "fifty-six million, four hundred forty-two thousand, four hundred sixty-four".