258344 has 16 divisors (see below), whose sum is σ = 496320. Its totient is φ = 126000.

The previous prime is 258337. The next prime is 258353. The reversal of 258344 is 443852.

258344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 2¹¹ + 5⁷ + 3¹¹ + 8³ + 4⁴ + 4⁴ .

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 258344.

It is an unprimeable number.

258344 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, 32 + ... + 719.

It is an arithmetic number, because the mean of its divisors is an integer number (31020).

2²⁵⁸³⁴⁴ is an apocalyptic number.

It is an amenable number.

258344 is a deficient number, since it is larger than the sum of its proper divisors (237976).

258344 is a wasteful number, since it uses less digits than its factorization.

258344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 258344 is about 508.2755158376. The cubic root of 258344 is about 63.6892488018.

The spelling of 258344 in words is "two hundred fifty-eight thousand, three hundred forty-four".