252920 has 16 divisors (see below), whose sum is σ = 569160. Its totient is φ = 101152.

The previous prime is 252919. The next prime is 252937. The reversal of 252920 is 29252.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 252892 and 252901.

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 252920.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3122 + ... + 3201.

2²⁵²⁹²⁰ is an apocalyptic number.

252920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252920 is an abundant number, since it is smaller than the sum of its proper divisors (316240).

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

252920 is a wasteful number, since it uses less digits than its factorization.

252920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6334 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 252920 is about 502.9115230336. The cubic root of 252920 is about 63.2403683772.

The spelling of 252920 in words is "two hundred fifty-two thousand, nine hundred twenty".