56822400 has 144 divisors (see below), whose sum is σ = 202858110. Its totient is φ = 15144960.

The previous prime is 56822387. The next prime is 56822419. The reversal of 56822400 is 422865.

It can be written as a sum of positive squares in 3 ways, for example, as 34012224 + 22810176 = 5832^2 + 4776^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 27814 + ... + 29786.

Almost surely, 2^56822400 is an apocalyptic number.

56822400 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 56822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101429055).

56822400 is an abundant number, since it is smaller than the sum of its proper divisors (146035710).

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

56822400 is a wasteful number, since it uses less digits than its factorization.

56822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2003 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 56822400 is about 7538.0634117789. The cubic root of 56822400 is about 384.4499932993.

The spelling of 56822400 in words is "fifty-six million, eight hundred twenty-two thousand, four hundred".