252865200 has 120 divisors (see below), whose sum is σ = 925758208. Its totient is φ = 57795840.

The previous prime is 252865139. The next prime is 252865201. The reversal of 252865200 is 2568252.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (252865201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6652 + ... + 23451.

Almost surely, 2^252865200 is an apocalyptic number.

252865200 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 252865200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462879104).

252865200 is an abundant number, since it is smaller than the sum of its proper divisors (672893008).

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

252865200 is a wasteful number, since it uses less digits than its factorization.

252865200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30131 (or 30120 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 252865200 is about 15901.7357543131. The cubic root of 252865200 is about 632.3580063179.

The spelling of 252865200 in words is "two hundred fifty-two million, eight hundred sixty-five thousand, two hundred".