252114800 has 180 divisors, whose sum is σ = 742776120. Its totient is φ = 81768960.

The previous prime is 252114787. The next prime is 252114859. The reversal of 252114800 is 8411252.

It is a congruent number.

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, 372062 + ... + 372738.

It is an arithmetic number, because the mean of its divisors is an integer number (4126534).

Almost surely, 2^252114800 is an apocalyptic number.

252114800 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 252114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371388060).

252114800 is an abundant number, since it is smaller than the sum of its proper divisors (490661320).

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

252114800 is a wasteful number, since it uses less digits than its factorization.

252114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 252114800 is about 15878.1233148001. The cubic root of 252114800 is about 631.7318602946.

The spelling of 252114800 in words is "two hundred fifty-two million, one hundred fourteen thousand, eight hundred".