56444864 has 84 divisors (see below), whose sum is σ = 133776720. Its totient is φ = 23546880.

The previous prime is 56444833. The next prime is 56444867. The reversal of 56444864 is 46844465.

56444864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56444867) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 128357 + ... + 128795.

It is an arithmetic number, because the mean of its divisors is an integer number (1592580).

Almost surely, 2^56444864 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 56444864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66888360).

56444864 is an abundant number, since it is smaller than the sum of its proper divisors (77331856).

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

56444864 is a wasteful number, since it uses less digits than its factorization.

56444864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 489 counting only the distinct ones).

The product of its digits is 368640, while the sum is 41.

The square root of 56444864 is about 7512.9797018227. The cubic root of 56444864 is about 383.5966540280.

The spelling of 56444864 in words is "fifty-six million, four hundred forty-four thousand, eight hundred sixty-four".