258600 has 48 divisors (see below), whose sum is σ = 803520. Its totient is φ = 68800.

The previous prime is 258581. The next prime is 258607. The reversal of 258600 is 6852.

It is a happy number.

258600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258607) by changing a digit.

258600 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 11 ways as a sum of consecutive naturals, for example, 385 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2²⁵⁸⁶⁰⁰ is an apocalyptic number.

258600 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 258600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401760).

258600 is an abundant number, since it is smaller than the sum of its proper divisors (544920).

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

258600 is a wasteful number, since it uses less digits than its factorization.

258600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 258600 is about 508.5272854036. The cubic root of 258600 is about 63.7102789853.

It can be divided in two parts, 258 and 600, that added together give a palindrome (858).

The spelling of 258600 in words is "two hundred fifty-eight thousand, six hundred".