252048 has 40 divisors (see below), whose sum is σ = 669600. Its totient is φ = 81664.

The previous prime is 252037. The next prime is 252079. The reversal of 252048 is 840252.

It is a nialpdrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2788 + ... + 2876.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2²⁵²⁰⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

252048 is an abundant number, since it is smaller than the sum of its proper divisors (417552).

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

252048 is a wasteful number, since it uses less digits than its factorization.

252048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 252048 is about 502.0438227884. The cubic root of 252048 is about 63.1676061090.

The spelling of 252048 in words is "two hundred fifty-two thousand, forty-eight".