252907200 has 504 divisors, whose sum is σ = 1112060768. Its totient is φ = 53084160.

The previous prime is 252907177. The next prime is 252907201. The reversal of 252907200 is 2709252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (252907201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1310304 + ... + 1310496.

Almost surely, 2^252907200 is an apocalyptic number.

252907200 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 252907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556030384).

252907200 is an abundant number, since it is smaller than the sum of its proper divisors (859153568).

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

252907200 is a wasteful number, since it uses less digits than its factorization.

252907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 252907200 is about 15903.0563100305. The cubic root of 252907200 is about 632.3930151763.

It can be divided in two parts, 252 and 907200, that multiplied together give a square (228614400 = 15120²).

The spelling of 252907200 in words is "two hundred fifty-two million, nine hundred seven thousand, two hundred".