56314400 has 36 divisors (see below), whose sum is σ = 137479482. Its totient is φ = 22525440.

The previous prime is 56314399. The next prime is 56314403. The reversal of 56314400 is 441365.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 45212176 + 11102224 = 6724^2 + 3332^2 .

It is not an unprimeable number, because it can be changed into a prime (56314403) 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 5 ways as a sum of consecutive naturals, for example, 34397 + ... + 35996.

Almost surely, 2^56314400 is an apocalyptic number.

56314400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56314400 is an abundant number, since it is smaller than the sum of its proper divisors (81165082).

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

56314400 is a wasteful number, since it uses less digits than its factorization.

56314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70413 (or 70400 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 56314400 is about 7504.2921051889. The cubic root of 56314400 is about 383.3008836216.

Adding to 56314400 its reverse (441365), we get a palindrome (56755765).

The spelling of 56314400 in words is "fifty-six million, three hundred fourteen thousand, four hundred".