52874400 has 72 divisors (see below), whose sum is σ = 172113984. Its totient is φ = 14099200.

The previous prime is 52874399. The next prime is 52874407. The reversal of 52874400 is 447825.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52874407) 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 11 ways as a sum of consecutive naturals, for example, 8616 + ... + 13415.

It is an arithmetic number, because the mean of its divisors is an integer number (2390472).

Almost surely, 2^52874400 is an apocalyptic number.

52874400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52874400 is an abundant number, since it is smaller than the sum of its proper divisors (119239584).

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

52874400 is a wasteful number, since it uses less digits than its factorization.

52874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22054 (or 22041 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 52874400 is about 7271.4785291576. The cubic root of 52874400 is about 375.3316177704.

The spelling of 52874400 in words is "fifty-two million, eight hundred seventy-four thousand, four hundred".