252900 has 54 divisors (see below), whose sum is σ = 795522. Its totient is φ = 67200.

The previous prime is 252899. The next prime is 252911. The reversal of 252900 is 9252.

252900 = T₁₅ + T₁₆ + ... + T₁₁₄.

252900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 28224 + 224676 = 168^2 + 474^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 760 + ... + 1040.

2²⁵²⁹⁰⁰ is an apocalyptic number.

252900 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 252900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397761).

252900 is an abundant number, since it is smaller than the sum of its proper divisors (542622).

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

252900 is a wasteful number, since it uses less digits than its factorization.

252900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 252900 is about 502.8916384272. The cubic root of 252900 is about 63.2387013933.

The spelling of 252900 in words is "two hundred fifty-two thousand, nine hundred".