252280 has 64 divisors (see below), whose sum is σ = 699840. Its totient is φ = 79872.

The previous prime is 252277. The next prime is 252283. The reversal of 252280 is 82252.

It is an interprime number because it is at equal distance from previous prime (252277) and next prime (252283).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252283) 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 15 ways as a sum of consecutive naturals, for example, 4734 + ... + 4786.

It is an arithmetic number, because the mean of its divisors is an integer number (10935).

2²⁵²²⁸⁰ is an apocalyptic number.

252280 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 252280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349920).

252280 is an abundant number, since it is smaller than the sum of its proper divisors (447560).

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

252280 is a wasteful number, since it uses less digits than its factorization.

252280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 252280 is about 502.2748251704. The cubic root of 252280 is about 63.1869812419.

The spelling of 252280 in words is "two hundred fifty-two thousand, two hundred eighty".