252892800 has 192 divisors, whose sum is σ = 925833600. Its totient is φ = 67415040.

The previous prime is 252892747. The next prime is 252892813. The reversal of 252892800 is 8298252.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 84937 + ... + 87863.

It is an arithmetic number, because the mean of its divisors is an integer number (4822050).

Almost surely, 2^252892800 is an apocalyptic number.

252892800 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 252892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462916800).

252892800 is an abundant number, since it is smaller than the sum of its proper divisors (672940800).

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

252892800 is a wasteful number, since it uses less digits than its factorization.

252892800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 252892800 is about 15902.6035604237. The cubic root of 252892800 is about 632.3810125758.

The spelling of 252892800 in words is "two hundred fifty-two million, eight hundred ninety-two thousand, eight hundred".