56774400 has 108 divisors (see below), whose sum is σ = 187430712. Its totient is φ = 15134720.

The previous prime is 56774371. The next prime is 56774401. The reversal of 56774400 is 447765.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56774401) 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, 17722 + ... + 20678.

Almost surely, 2^56774400 is an apocalyptic number.

56774400 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 56774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93715356).

56774400 is an abundant number, since it is smaller than the sum of its proper divisors (130656312).

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

56774400 is a wasteful number, since it uses less digits than its factorization.

56774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 56774400 is about 7534.8788975006. The cubic root of 56774400 is about 384.3417097218.

The spelling of 56774400 in words is "fifty-six million, seven hundred seventy-four thousand, four hundred".