252331200 has 504 divisors, whose sum is σ = 1031808960. Its totient is φ = 60134400.

The previous prime is 252331199. The next prime is 252331213. The reversal of 252331200 is 2133252.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4276771 + ... + 4276829.

It is an arithmetic number, because the mean of its divisors is an integer number (2047240).

Almost surely, 2^252331200 is an apocalyptic number.

252331200 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 252331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515904480).

252331200 is an abundant number, since it is smaller than the sum of its proper divisors (779477760).

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

252331200 is a wasteful number, since it uses less digits than its factorization.

252331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 252331200 is about 15884.9362604954. The cubic root of 252331200 is about 631.9125553320.

Adding to 252331200 its reverse (2133252), we get a palindrome (254464452).

The spelling of 252331200 in words is "two hundred fifty-two million, three hundred thirty-one thousand, two hundred".