258380 has 12 divisors (see below), whose sum is σ = 542640. Its totient is φ = 103344.

The previous prime is 258373. The next prime is 258389. The reversal of 258380 is 83852.

It is a d-powerful number, because it can be written as 2¹⁶ + 5⁶ + 3¹¹ + 8 + 8² + 0 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258380.

It is not an unprimeable number, because it can be changed into a prime (258389) by changing a digit.

258380 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 3 ways as a sum of consecutive naturals, for example, 6440 + ... + 6479.

It is an arithmetic number, because the mean of its divisors is an integer number (45220).

2²⁵⁸³⁸⁰ is an apocalyptic number.

258380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258380 is an abundant number, since it is smaller than the sum of its proper divisors (284260).

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

258380 is a wasteful number, since it uses less digits than its factorization.

258380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12928 (or 12926 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 258380 is about 508.3109284680. The cubic root of 258380 is about 63.6922070106.

The spelling of 258380 in words is "two hundred fifty-eight thousand, three hundred eighty".