56410400 has 72 divisors (see below), whose sum is σ = 139209840. Its totient is φ = 22319360.

The previous prime is 56410399. The next prime is 56410441. The reversal of 56410400 is 401465.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 85271 + ... + 85929.

It is an arithmetic number, because the mean of its divisors is an integer number (1933470).

Almost surely, 2^56410400 is an apocalyptic number.

56410400 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 56410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69604920).

56410400 is an abundant number, since it is smaller than the sum of its proper divisors (82799440).

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

56410400 is a wasteful number, since it uses less digits than its factorization.

56410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 56410400 is about 7510.6857210244. The cubic root of 56410400 is about 383.5185662226.

Adding to 56410400 its reverse (401465), we get a palindrome (56811865).

The spelling of 56410400 in words is "fifty-six million, four hundred ten thousand, four hundred".