56318400 has 126 divisors (see below), whose sum is σ = 200220072. Its totient is φ = 15014400.

The previous prime is 56318369. The next prime is 56318401. The reversal of 56318400 is 481365.

56318400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56318401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12445 + ... + 16355.

Almost surely, 2^56318400 is an apocalyptic number.

56318400 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 56318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100110036).

56318400 is an abundant number, since it is smaller than the sum of its proper divisors (143901672).

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

56318400 is a wasteful number, since it uses less digits than its factorization.

56318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3939 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 56318400 is about 7504.5586146022. The cubic root of 56318400 is about 383.3099586671.

Adding to 56318400 its reverse (481365), we get a palindrome (56799765).

The spelling of 56318400 in words is "fifty-six million, three hundred eighteen thousand, four hundred".