252600 has 48 divisors (see below), whose sum is σ = 784920. Its totient is φ = 67200.

The previous prime is 252589. The next prime is 252607. The reversal of 252600 is 6252.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 252600.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 252600.

It is not an unprimeable number, because it can be changed into a prime (252607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 390 + ... + 810.

2²⁵²⁶⁰⁰ is an apocalyptic number.

252600 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 252600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392460).

252600 is an abundant number, since it is smaller than the sum of its proper divisors (532320).

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

252600 is a wasteful number, since it uses less digits than its factorization.

252600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 252600 is about 502.5932749252. The cubic root of 252600 is about 63.2136860816.

Adding to 252600 its reverse (6252), we get a palindrome (258852).

The spelling of 252600 in words is "two hundred fifty-two thousand, six hundred".