56424960 has 240 divisors, whose sum is σ = 204272640. Its totient is φ = 14376960.

The previous prime is 56424947. The next prime is 56424961. The reversal of 56424960 is 6942465.

56424960 is a `hidden beast` number, since 5 + 642 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×56424960³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56424961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714201 + ... + 714279.

It is an arithmetic number, because the mean of its divisors is an integer number (851136).

Almost surely, 2^56424960 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 56424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102136320).

56424960 is an abundant number, since it is smaller than the sum of its proper divisors (147847680).

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

56424960 is a wasteful number, since it uses less digits than its factorization.

56424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 56424960 is about 7511.6549441518. The cubic root of 56424960 is about 383.5515598430.

The spelling of 56424960 in words is "fifty-six million, four hundred twenty-four thousand, nine hundred sixty".