258980 has 24 divisors (see below), whose sum is σ = 568512. Its totient is φ = 98912.

The previous prime is 258977. The next prime is 258983. The reversal of 258980 is 89852.

It is an interprime number because it is at equal distance from previous prime (258977) and next prime (258983).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258980.

It is not an unprimeable number, because it can be changed into a prime (258983) 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 7 ways as a sum of consecutive naturals, for example, 179 + ... + 741.

It is an arithmetic number, because the mean of its divisors is an integer number (23688).

2²⁵⁸⁹⁸⁰ is an apocalyptic number.

258980 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 258980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284256).

258980 is an abundant number, since it is smaller than the sum of its proper divisors (309532).

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

258980 is a wasteful number, since it uses less digits than its factorization.

258980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 258980 is about 508.9007761833. The cubic root of 258980 is about 63.7414700877.

The spelling of 258980 in words is "two hundred fifty-eight thousand, nine hundred eighty".