56422400 has 156 divisors (see below), whose sum is σ = 152352600. Its totient is φ = 20643840.

The previous prime is 56422397. The next prime is 56422441. The reversal of 56422400 is 422465.

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, 1945586 + ... + 1945614.

Almost surely, 2^56422400 is an apocalyptic number.

56422400 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 56422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76176300).

56422400 is an abundant number, since it is smaller than the sum of its proper divisors (95930200).

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

56422400 is a wasteful number, since it uses less digits than its factorization.

56422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 56422400 is about 7511.4845403555. The cubic root of 56422400 is about 383.5457591782.

Adding to 56422400 its reverse (422465), we get a palindrome (56844865).

The spelling of 56422400 in words is "fifty-six million, four hundred twenty-two thousand, four hundred".