252300 has 54 divisors (see below), whose sum is σ = 756028. Its totient is φ = 64960.

The previous prime is 252293. The next prime is 252313. The reversal of 252300 is 3252.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 8686 + ... + 8714.

2²⁵²³⁰⁰ is an apocalyptic number.

252300 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 252300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378014).

252300 is an abundant number, since it is smaller than the sum of its proper divisors (503728).

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

252300 is a wasteful number, since it uses less digits than its factorization.

252300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 252300 is about 502.2947341950. The cubic root of 252300 is about 63.1886509558.

Multiplying 252300 by its sum of digits (12), we get a square (3027600 = 1740²).

252300 divided by its sum of digits (12) gives a square (21025 = 145²).

Adding to 252300 its reverse (3252), we get a palindrome (255552).

The spelling of 252300 in words is "two hundred fifty-two thousand, three hundred".