56292400 has 30 divisors (see below), whose sum is σ = 135243452. Its totient is φ = 22516800.

The previous prime is 56292371. The next prime is 56292407. The reversal of 56292400 is 429265.

56292400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56292407) 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, 69966 + ... + 70765.

Almost surely, 2^56292400 is an apocalyptic number.

56292400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56292400 is an abundant number, since it is smaller than the sum of its proper divisors (78951052).

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

56292400 is a wasteful number, since it uses less digits than its factorization.

56292400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140749 (or 140738 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 56292400 is about 7502.8261341977. The cubic root of 56292400 is about 383.2509631881.

The spelling of 56292400 in words is "fifty-six million, two hundred ninety-two thousand, four hundred".