56481264 has 120 divisors (see below), whose sum is σ = 182413920. Its totient is φ = 15980544.

The previous prime is 56481253. The next prime is 56481283. The reversal of 56481264 is 46218465.

56481264 is a `hidden beast` number, since 5 + 648 + 1 + 2 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137892 + ... + 138300.

It is an arithmetic number, because the mean of its divisors is an integer number (1520116).

Almost surely, 2^56481264 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 56481264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91206960).

56481264 is an abundant number, since it is smaller than the sum of its proper divisors (125932656).

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

56481264 is a wasteful number, since it uses less digits than its factorization.

56481264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 558 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 56481264 is about 7515.4017856666. The cubic root of 56481264 is about 383.6790938749.

The spelling of 56481264 in words is "fifty-six million, four hundred eighty-one thousand, two hundred sixty-four".