258800 has 30 divisors (see below), whose sum is σ = 622728. Its totient is φ = 103360.

The previous prime is 258787. The next prime is 258803. The reversal of 258800 is 8852.

258800 = T₂₀ + T₂₁ + ... + T₁₁₅.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 258800.

It is not an unprimeable number, because it can be changed into a prime (258803) by changing a digit.

258800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 77 + ... + 723.

2²⁵⁸⁸⁰⁰ is an apocalyptic number.

258800 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 258800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311364).

258800 is an abundant number, since it is smaller than the sum of its proper divisors (363928).

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

258800 is a wasteful number, since it uses less digits than its factorization.

258800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 258800 is about 508.7238936791. The cubic root of 258800 is about 63.7266991610.

The spelling of 258800 in words is "two hundred fifty-eight thousand, eight hundred".