258408 has 48 divisors (see below), whose sum is σ = 726180. Its totient is φ = 82944.

The previous prime is 258407. The next prime is 258413. The reversal of 258408 is 804852.

258408 is a `hidden beast` number, since 258 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 248004 + 10404 = 498^2 + 102^2 .

It is not an unprimeable number, because it can be changed into a prime (258403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2616 + ... + 2712.

2²⁵⁸⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363090).

258408 is an abundant number, since it is smaller than the sum of its proper divisors (467772).

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

258408 is a wasteful number, since it uses less digits than its factorization.

258408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 258408 is about 508.3384699194. The cubic root of 258408 is about 63.6945076497.

It can be divided in two parts, 258 and 408, that added together give a palindrome (666).

The spelling of 258408 in words is "two hundred fifty-eight thousand, four hundred eight".