252235200 has 168 divisors, whose sum is σ = 945887872. Its totient is φ = 57646080.

The previous prime is 252235199. The next prime is 252235259. The reversal of 252235200 is 2532252.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×252235200² = 127245192238080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 29847 + ... + 37353.

Almost surely, 2^252235200 is an apocalyptic number.

252235200 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 252235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472943936).

252235200 is an abundant number, since it is smaller than the sum of its proper divisors (693652672).

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

252235200 is a wasteful number, since it uses less digits than its factorization.

252235200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7539 (or 7524 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 252235200 is about 15881.9142423072. The cubic root of 252235200 is about 631.8324076265.

Adding to 252235200 its reverse (2532252), we get a palindrome (254767452).

The spelling of 252235200 in words is "two hundred fifty-two million, two hundred thirty-five thousand, two hundred".