52390800 has 540 divisors, whose sum is σ = 239265936. Its totient is φ = 10886400.

The previous prime is 52390799. The next prime is 52390817. The reversal of 52390800 is 809325.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4762795 + ... + 4762805.

Almost surely, 2^52390800 is an apocalyptic number.

52390800 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 52390800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119632968).

52390800 is an abundant number, since it is smaller than the sum of its proper divisors (186875136).

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

52390800 is a wasteful number, since it uses less digits than its factorization.

52390800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 52390800 is about 7238.1489346379. The cubic root of 52390800 is about 374.1838249107.

The spelling of 52390800 in words is "fifty-two million, three hundred ninety thousand, eight hundred".