258900 has 36 divisors (see below), whose sum is σ = 749952. Its totient is φ = 68960.

The previous prime is 258887. The next prime is 258917. The reversal of 258900 is 9852.

It is a congruent number.

It is an unprimeable number.

258900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 132 + ... + 731.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2²⁵⁸⁹⁰⁰ is an apocalyptic number.

258900 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 258900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976).

258900 is an abundant number, since it is smaller than the sum of its proper divisors (491052).

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

258900 is a wasteful number, since it uses less digits than its factorization.

258900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 258900 is about 508.8221693283. The cubic root of 258900 is about 63.7349060767.

The spelling of 258900 in words is "two hundred fifty-eight thousand, nine hundred".