252172800 has 360 divisors, whose sum is σ = 989445600. Its totient is φ = 60825600.

The previous prime is 252172793. The next prime is 252172801. The reversal of 252172800 is 8271252.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×252172800² = 127182242119680000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252172801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1267101 + ... + 1267299.

It is an arithmetic number, because the mean of its divisors is an integer number (2748460).

Almost surely, 2^252172800 is an apocalyptic number.

252172800 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 252172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494722800).

252172800 is an abundant number, since it is smaller than the sum of its proper divisors (737272800).

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

252172800 is a wasteful number, since it uses less digits than its factorization.

252172800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 252172800 is about 15879.9496220863. The cubic root of 252172800 is about 631.7803007121.

The spelling of 252172800 in words is "two hundred fifty-two million, one hundred seventy-two thousand, eight hundred".