56400 has 60 divisors (see below), whose sum is σ = 184512. Its totient is φ = 14720.

The previous prime is 56393. The next prime is 56401. The reversal of 56400 is 465.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 56400.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 56400.

It is not an unprimeable number, because it can be changed into a prime (56401) by changing a digit.

56400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1177 + ... + 1223.

2⁵⁶⁴⁰⁰ is an apocalyptic number.

56400 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 56400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92256).

56400 is an abundant number, since it is smaller than the sum of its proper divisors (128112).

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

56400 is a wasteful number, since it uses less digits than its factorization.

56400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 56400 is about 237.4868417408. The cubic root of 56400 is about 38.3494995875.

Subtracting from 56400 its product of nonzero digits (120), we obtain a triangular number (56280 = T₃₃₅).

Adding to 56400 its reverse (465), we get a palindrome (56865).

The spelling of 56400 in words is "fifty-six thousand, four hundred".