252180 has 48 divisors (see below), whose sum is σ = 786240. Its totient is φ = 67104.

The previous prime is 252173. The next prime is 252181. The reversal of 252180 is 81252.

252180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252181) by changing a digit.

252180 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307 + ... + 773.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2²⁵²¹⁸⁰ is an apocalyptic number.

252180 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 252180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120).

252180 is an abundant number, since it is smaller than the sum of its proper divisors (534060).

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

252180 is a wasteful number, since it uses less digits than its factorization.

252180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 252180 is about 502.1752682082. The cubic root of 252180 is about 63.1786313487.

It can be divided in two parts, 2521 and 80, that added together give a square (2601 = 51²).

The spelling of 252180 in words is "two hundred fifty-two thousand, one hundred eighty".