258440 has 64 divisors (see below), whose sum is σ = 725760. Its totient is φ = 80640.

The previous prime is 258437. The next prime is 258443. The reversal of 258440 is 44852.

258440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (258437) and next prime (258443).

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 258440.

It is not an unprimeable number, because it can be changed into a prime (258443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3605 + ... + 3675.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²⁵⁸⁴⁴⁰ is an apocalyptic number.

258440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362880).

258440 is an abundant number, since it is smaller than the sum of its proper divisors (467320).

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

258440 is a wasteful number, since it uses less digits than its factorization.

258440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 258440 is about 508.3699440368. The cubic root of 258440 is about 63.6971367480.

The spelling of 258440 in words is "two hundred fifty-eight thousand, four hundred forty".