56200400 has 60 divisors (see below), whose sum is σ = 136365900. Its totient is φ = 22256640.

The previous prime is 56200399. The next prime is 56200411. The reversal of 56200400 is 400265.

It can be written as a sum of positive squares in 6 ways, for example, as 906304 + 55294096 = 952^2 + 7436^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42956 + ... + 44244.

It is an arithmetic number, because the mean of its divisors is an integer number (2272765).

Almost surely, 2^56200400 is an apocalyptic number.

56200400 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 56200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68182950).

56200400 is an abundant number, since it is smaller than the sum of its proper divisors (80165500).

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

56200400 is a wasteful number, since it uses less digits than its factorization.

56200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1405 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 56200400 is about 7496.6926040755. The cubic root of 56200400 is about 383.0420639741.

Adding to 56200400 its reverse (400265), we get a palindrome (56600665).

The spelling of 56200400 in words is "fifty-six million, two hundred thousand, four hundred".