258852 has 48 divisors (see below), whose sum is σ = 689472. Its totient is φ = 74880.

The previous prime is 258847. The next prime is 258871.

258852 is nontrivially palindromic in base 10.

It is an Ulam number.

It is an unprimeable number.

258852 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, 4858 + ... + 4910.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2²⁵⁸⁸⁵² is an apocalyptic number.

258852 is a gapful number since it is divisible by the number (22) 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 258852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736).

258852 is an abundant number, since it is smaller than the sum of its proper divisors (430620).

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

258852 is a wasteful number, since it uses less digits than its factorization.

258852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

The square root of 258852 is about 508.7749993858. The cubic root of 258852 is about 63.7309670210.

The spelling of 258852 in words is "two hundred fifty-eight thousand, eight hundred fifty-two".