258000 has 80 divisors (see below), whose sum is σ = 851136. Its totient is φ = 67200.

The previous prime is 257993. The next prime is 258019. The reversal of 258000 is 852.

258000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 5979 + ... + 6021.

2²⁵⁸⁰⁰⁰ is an apocalyptic number.

258000 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 258000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425568).

258000 is an abundant number, since it is smaller than the sum of its proper divisors (593136).

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

258000 is a wasteful number, since it uses less digits than its factorization.

258000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 258000 is about 507.9370039680. The cubic root of 258000 is about 63.6609676042.

Adding to 258000 its reverse (852), we get a palindrome (258852).

The spelling of 258000 in words is "two hundred fifty-eight thousand".