252874200 has 96 divisors (see below), whose sum is σ = 810997200. Its totient is φ = 65103360.

The previous prime is 252874199. The next prime is 252874253. The reversal of 252874200 is 2478252.

252874200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252874200² = 127890722051280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 10134 + ... + 24666.

Almost surely, 2^252874200 is an apocalyptic number.

252874200 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 252874200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405498600).

252874200 is an abundant number, since it is smaller than the sum of its proper divisors (558123000).

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

252874200 is a wasteful number, since it uses less digits than its factorization.

252874200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14581 (or 14572 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 252874200 is about 15902.0187397701. The cubic root of 252874200 is about 632.3655085425.

The spelling of 252874200 in words is "two hundred fifty-two million, eight hundred seventy-four thousand, two hundred".