252979200 has 360 divisors, whose sum is σ = 952341390. Its totient is φ = 66355200.

The previous prime is 252979187. The next prime is 252979213. The reversal of 252979200 is 2979252.

It is an interprime number because it is at equal distance from previous prime (252979187) and next prime (252979213).

It can be written as a sum of positive squares in 3 ways, for example, as 113550336 + 139428864 = 10656^2 + 11808^2 .

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

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 29 ways as a sum of consecutive naturals, for example, 4147170 + ... + 4147230.

Almost surely, 2^252979200 is an apocalyptic number.

252979200 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 252979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476170695).

252979200 is an abundant number, since it is smaller than the sum of its proper divisors (699362190).

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

252979200 is an equidigital number, since it uses as much as digits as its factorization.

252979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 252979200 is about 15905.3198647497. The cubic root of 252979200 is about 632.4530213458.

The spelling of 252979200 in words is "two hundred fifty-two million, nine hundred seventy-nine thousand, two hundred".