56052400 has 60 divisors (see below), whose sum is σ = 142604712. Its totient is φ = 21099520.

The previous prime is 56052397. The next prime is 56052457. The reversal of 56052400 is 425065.

56052400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2679 + ... + 10921.

Almost surely, 2^56052400 is an apocalyptic number.

56052400 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 56052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71302356).

56052400 is an abundant number, since it is smaller than the sum of its proper divisors (86552312).

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

56052400 is a wasteful number, since it uses less digits than its factorization.

56052400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8278 (or 8267 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 56052400 is about 7486.8150771874. The cubic root of 56052400 is about 382.7055298231.

Adding to 56052400 its reverse (425065), we get a palindrome (56477465).

The spelling of 56052400 in words is "fifty-six million, fifty-two thousand, four hundred".