56579472 has 100 divisors (see below), whose sum is σ = 165419100. Its totient is φ = 18669312.

The previous prime is 56579459. The next prime is 56579483. The reversal of 56579472 is 27497565.

56579472 is a `hidden beast` number, since 5 + 6 + 579 + 4 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 25040016 = 5616^2 + 5004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 192958 + ... + 193250.

It is an arithmetic number, because the mean of its divisors is an integer number (1654191).

Almost surely, 2^56579472 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 56579472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82709550).

56579472 is an abundant number, since it is smaller than the sum of its proper divisors (108839628).

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

56579472 is a wasteful number, since it uses less digits than its factorization.

56579472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 56579472 is about 7521.9327303559. The cubic root of 56579472 is about 383.9013418422.

It can be divided in two parts, 5657 and 9472, that added together give a square (15129 = 123²).

The spelling of 56579472 in words is "fifty-six million, five hundred seventy-nine thousand, four hundred seventy-two".