56014400 has 84 divisors (see below), whose sum is σ = 148487892. Its totient is φ = 20674560.

The previous prime is 56014391. The next prime is 56014403. The reversal of 56014400 is 441065.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7795264 + 48219136 = 2792^2 + 6944^2 .

It is a super-2 number, since 2×56014400² = 6275226014720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56014403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19454 + ... + 22146.

It is an arithmetic number, because the mean of its divisors is an integer number (1767713).

Almost surely, 2^56014400 is an apocalyptic number.

56014400 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 56014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74243946).

56014400 is an abundant number, since it is smaller than the sum of its proper divisors (92473492).

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

56014400 is a wasteful number, since it uses less digits than its factorization.

56014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2728 (or 2713 counting only the distinct ones).

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

The square root of 56014400 is about 7484.2768521748. The cubic root of 56014400 is about 382.6190268500.

Adding to 56014400 its reverse (441065), we get a palindrome (56455465).

It can be divided in two parts, 5601 and 4400, that added together give a palindrome (10001).

The spelling of 56014400 in words is "fifty-six million, fourteen thousand, four hundred".