258180 has 48 divisors (see below), whose sum is σ = 780864. Its totient is φ = 63360.

The previous prime is 258173. The next prime is 258197. The reversal of 258180 is 81852.

It is a self number, because there is not a number n which added to its sum of digits gives 258180.

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, 615 + ... + 945.

It is an arithmetic number, because the mean of its divisors is an integer number (16268).

2²⁵⁸¹⁸⁰ is an apocalyptic number.

258180 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 258180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390432).

258180 is an abundant number, since it is smaller than the sum of its proper divisors (522684).

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

258180 is a wasteful number, since it uses less digits than its factorization.

258180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 258180 is about 508.1141604010. The cubic root of 258180 is about 63.6757690387.

The spelling of 258180 in words is "two hundred fifty-eight thousand, one hundred eighty".