56409584 has 120 divisors (see below), whose sum is σ = 143847936. Its totient is φ = 21168000.

The previous prime is 56409583. The next prime is 56409599. The reversal of 56409584 is 48590465.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56409581) 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, 267239 + ... + 267449.

Almost surely, 2^56409584 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 56409584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71923968).

56409584 is an abundant number, since it is smaller than the sum of its proper divisors (87438352).

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

56409584 is a wasteful number, since it uses less digits than its factorization.

56409584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 56409584 is about 7510.6313982248. The cubic root of 56409584 is about 383.5167169616.

The spelling of 56409584 in words is "fifty-six million, four hundred nine thousand, five hundred eighty-four".