56312400 has 120 divisors (see below), whose sum is σ = 182113344. Its totient is φ = 14873600.

The previous prime is 56312383. The next prime is 56312401. The reversal of 56312400 is 421365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56312401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200260 + ... + 200540.

Almost surely, 2^56312400 is an apocalyptic number.

56312400 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 56312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91056672).

56312400 is an abundant number, since it is smaller than the sum of its proper divisors (125800944).

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

56312400 is a wasteful number, since it uses less digits than its factorization.

56312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 56312400 is about 7504.1588469328. The cubic root of 56312400 is about 383.2963459376.

Adding to 56312400 its reverse (421365), we get a palindrome (56733765).

The spelling of 56312400 in words is "fifty-six million, three hundred twelve thousand, four hundred".