252961200 has 180 divisors, whose sum is σ = 908490960. Its totient is φ = 65103360.

The previous prime is 252961187. The next prime is 252961211. The reversal of 252961200 is 2169252.

252961200 is a `hidden beast` number, since 25 + 29 + 612 + 0 + 0 = 666.

252961200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103189 + ... + 105611.

It is an arithmetic number, because the mean of its divisors is an integer number (5047172).

Almost surely, 2^252961200 is an apocalyptic number.

252961200 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 252961200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454245480).

252961200 is an abundant number, since it is smaller than the sum of its proper divisors (655529760).

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

252961200 is a wasteful number, since it uses less digits than its factorization.

252961200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 252961200 is about 15904.7540062712. The cubic root of 252961200 is about 632.4380208709.

The spelling of 252961200 in words is "two hundred fifty-two million, nine hundred sixty-one thousand, two hundred".