56178400 has 36 divisors (see below), whose sum is σ = 137147472. Its totient is φ = 22471040.

The previous prime is 56178389. The next prime is 56178403. The reversal of 56178400 is 487165.

56178400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56178403) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 34312 + ... + 35911.

It is an arithmetic number, because the mean of its divisors is an integer number (3809652).

Almost surely, 2^56178400 is an apocalyptic number.

56178400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56178400 is an abundant number, since it is smaller than the sum of its proper divisors (80969072).

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

56178400 is a wasteful number, since it uses less digits than its factorization.

56178400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70243 (or 70230 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 56178400 is about 7495.2251467184. The cubic root of 56178400 is about 382.9920760426.

It can be divided in two parts, 561 and 78400, that added together give a square (78961 = 281²).

The spelling of 56178400 in words is "fifty-six million, one hundred seventy-eight thousand, four hundred".