408258 has 24 divisors (see below), whose sum is σ = 909948. Its totient is φ = 132192.

The previous prime is 408251. The next prime is 408263. The reversal of 408258 is 852804.

408258 is a `hidden beast` number, since 408 + 258 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 400689 + 7569 = 633^2 + 87^2 .

It is not an unprimeable number, because it can be changed into a prime (408251) 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, 360 + ... + 972.

2⁴⁰⁸²⁵⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454974).

408258 is an abundant number, since it is smaller than the sum of its proper divisors (501690).

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

408258 is a wasteful number, since it uses less digits than its factorization.

408258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 655 counting only the distinct ones).

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

The square root of 408258 is about 638.9507023237. The cubic root of 408258 is about 74.1842256676.

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

The spelling of 408258 in words is "four hundred eight thousand, two hundred fifty-eight".