56404560 has 80 divisors (see below), whose sum is σ = 175881600. Its totient is φ = 14952960.

The previous prime is 56404549. The next prime is 56404567. The reversal of 56404560 is 6540465.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56404567) 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, 47170 + ... + 48350.

It is an arithmetic number, because the mean of its divisors is an integer number (2198520).

Almost surely, 2^56404560 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 56404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87940800).

56404560 is an abundant number, since it is smaller than the sum of its proper divisors (119477040).

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

56404560 is a wasteful number, since it uses less digits than its factorization.

56404560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 56404560 is about 7510.2969315467. The cubic root of 56404560 is about 383.5053309225.

The spelling of 56404560 in words is "fifty-six million, four hundred four thousand, five hundred sixty".