252780 has 48 divisors (see below), whose sum is σ = 774144. Its totient is φ = 61120.

The previous prime is 252779. The next prime is 252817. The reversal of 252780 is 87252.

252780 = T₁₆ + T₁₇ + ... + T₁₁₄.

252780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 252780.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 469 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (16128).

2²⁵²⁷⁸⁰ is an apocalyptic number.

252780 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 252780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072).

252780 is an abundant number, since it is smaller than the sum of its proper divisors (521364).

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

252780 is a wasteful number, since it uses less digits than its factorization.

252780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 252780 is about 502.7723142736. The cubic root of 252780 is about 63.2286976438.

The spelling of 252780 in words is "two hundred fifty-two thousand, seven hundred eighty".