56579400 has 216 divisors, whose sum is σ = 205977330. Its totient is φ = 13870080.

The previous prime is 56579387. The next prime is 56579431. The reversal of 56579400 is 497565.

56579400 is a `hidden beast` number, since 565 + 7 + 94 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 48525156 + 8054244 = 6966^2 + 2838^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1315779 + ... + 1315821.

Almost surely, 2^56579400 is an apocalyptic number.

56579400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56579400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102988665).

56579400 is an abundant number, since it is smaller than the sum of its proper divisors (149397930).

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

56579400 is a wasteful number, since it uses less digits than its factorization.

56579400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56579400 is about 7521.9279443504. The cubic root of 56579400 is about 383.9011789980.

The spelling of 56579400 in words is "fifty-six million, five hundred seventy-nine thousand, four hundred".