258300 has 108 divisors (see below), whose sum is σ = 947856. Its totient is φ = 57600.

The previous prime is 258299. The next prime is 258317. The reversal of 258300 is 3852.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6280 + ... + 6320.

2²⁵⁸³⁰⁰ is an apocalyptic number.

258300 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 258300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473928).

258300 is an abundant number, since it is smaller than the sum of its proper divisors (689556).

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

258300 is a wasteful number, since it uses less digits than its factorization.

258300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 258300 is about 508.2322303829. The cubic root of 258300 is about 63.6856328401.

The spelling of 258300 in words is "two hundred fifty-eight thousand, three hundred".