56022400 has 192 divisors, whose sum is σ = 164676960. Its totient is φ = 18432000.

The previous prime is 56022389. The next prime is 56022409. The reversal of 56022400 is 422065.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56022409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918370 + ... + 918430.

Almost surely, 2^56022400 is an apocalyptic number.

56022400 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 56022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82338480).

56022400 is an abundant number, since it is smaller than the sum of its proper divisors (108654560).

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

56022400 is a wasteful number, since it uses less digits than its factorization.

56022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 56022400 is about 7484.8112868662. The cubic root of 56022400 is about 382.6372412527.

Adding to 56022400 its reverse (422065), we get a palindrome (56444465).

The spelling of 56022400 in words is "fifty-six million, twenty-two thousand, four hundred".