258405 has 32 divisors (see below), whose sum is σ = 497664. Its totient is φ = 111936.

The previous prime is 258403. The next prime is 258407. The reversal of 258405 is 504852.

It is an interprime number because it is at equal distance from previous prime (258403) and next prime (258407).

It is not a de Polignac number, because 258405 - 2¹ = 258403 is a prime.

It is a Curzon number.

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 258405.

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

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 31 ways as a sum of consecutive naturals, for example, 2362 + ... + 2468.

It is an arithmetic number, because the mean of its divisors is an integer number (15552).

2²⁵⁸⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

258405 is a deficient number, since it is larger than the sum of its proper divisors (239259).

258405 is a wasteful number, since it uses less digits than its factorization.

258405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145.

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 258405 is about 508.3355191210. The cubic root of 258405 is about 63.6942611606.

The spelling of 258405 in words is "two hundred fifty-eight thousand, four hundred five".