52386800 has 120 divisors (see below), whose sum is σ = 135846960. Its totient is φ = 19353600.

The previous prime is 52386799. The next prime is 52386821. The reversal of 52386800 is 868325.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 463544 + ... + 463656.

It is an arithmetic number, because the mean of its divisors is an integer number (1132058).

Almost surely, 2^52386800 is an apocalyptic number.

52386800 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 52386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67923480).

52386800 is an abundant number, since it is smaller than the sum of its proper divisors (83460160).

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

52386800 is a wasteful number, since it uses less digits than its factorization.

52386800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 52386800 is about 7237.8726156240. The cubic root of 52386800 is about 374.1743017794.

The spelling of 52386800 in words is "fifty-two million, three hundred eighty-six thousand, eight hundred".