252324800 has 168 divisors, whose sum is σ = 764596896. Its totient is φ = 79810560.

The previous prime is 252324799. The next prime is 252324823. The reversal of 252324800 is 8423252.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 252324800.

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, 144734 + ... + 146466.

It is an arithmetic number, because the mean of its divisors is an integer number (4551172).

Almost surely, 2^252324800 is an apocalyptic number.

252324800 is a gapful number since it is divisible by the number (20) 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 252324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382298448).

252324800 is an abundant number, since it is smaller than the sum of its proper divisors (512272096).

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

252324800 is a wasteful number, since it uses less digits than its factorization.

252324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 252324800 is about 15884.7348105028. The cubic root of 252324800 is about 631.9072127841.

The spelling of 252324800 in words is "two hundred fifty-two million, three hundred twenty-four thousand, eight hundred".