258090 has 32 divisors (see below), whose sum is σ = 708480. Its totient is φ = 58944.

The previous prime is 258067. The next prime is 258101. The reversal of 258090 is 90852.

258090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×258090² = 133220896200, which contains 22 as substring.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 258090.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258090.

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, 405 + ... + 824.

It is an arithmetic number, because the mean of its divisors is an integer number (22140).

2²⁵⁸⁰⁹⁰ is an apocalyptic number.

258090 is an abundant number, since it is smaller than the sum of its proper divisors (450390).

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

258090 is a wasteful number, since it uses less digits than its factorization.

258090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246.

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

The square root of 258090 is about 508.0255899067. The cubic root of 258090 is about 63.6683691817.

The spelling of 258090 in words is "two hundred fifty-eight thousand, ninety".