258456 has 48 divisors (see below), whose sum is σ = 718200. Its totient is φ = 77440.

The previous prime is 258449. The next prime is 258469. The reversal of 258456 is 654852.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

Its product of digits (9600) is a multiple of the sum of its prime factors (120).

It is a zygodrome in base 2.

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 258456.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2860 + ... + 2948.

2²⁵⁸⁴⁵⁶ 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 258456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359100).

258456 is an abundant number, since it is smaller than the sum of its proper divisors (459744).

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

258456 is a wasteful number, since it uses less digits than its factorization.

258456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 258456 is about 508.3856803648. The cubic root of 258456 is about 63.6984512158.

The spelling of 258456 in words is "two hundred fifty-eight thousand, four hundred fifty-six".