258409 has 4 divisors (see below), whose sum is σ = 261760. Its totient is φ = 255060.

The previous prime is 258407. The next prime is 258413. The reversal of 258409 is 904852.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 258409 - 2¹ = 258407 is a prime.

It is a super-2 number, since 2×258409² = 133550422562, which contains 22 as substring.

It is a Duffinian number.

258409 is a lucky number.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1557 + ... + 1714.

It is an arithmetic number, because the mean of its divisors is an integer number (65440).

2²⁵⁸⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

258409 is a deficient number, since it is larger than the sum of its proper divisors (3351).

258409 is an equidigital number, since it uses as much as digits as its factorization.

258409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 258409 is about 508.3394535151. The cubic root of 258409 is about 63.6945898123.

The spelling of 258409 in words is "two hundred fifty-eight thousand, four hundred nine".