56652480 has 224 divisors, whose sum is σ = 204825600. Its totient is φ = 14736384.

The previous prime is 56652451. The next prime is 56652487. The reversal of 56652480 is 8425665.

56652480 is a `hidden beast` number, since 56 + 6 + 524 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56652487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682519 + ... + 682601.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 2^56652480 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 56652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

56652480 is an abundant number, since it is smaller than the sum of its proper divisors (148173120).

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

56652480 is a wasteful number, since it uses less digits than its factorization.

56652480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 56652480 is about 7526.7841738687. The cubic root of 56652480 is about 384.0663947695.

The spelling of 56652480 in words is "fifty-six million, six hundred fifty-two thousand, four hundred eighty".