258432 has 32 divisors (see below), whose sum is σ = 687480. Its totient is φ = 86016.

The previous prime is 258421. The next prime is 258437. The reversal of 258432 is 234852.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2 + 5⁷ + 4⁷ + 8⁵ + 3⁴ + 2¹⁷ .

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 258432.

It is not an unprimeable number, because it can be changed into a prime (258437) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48 + ... + 720.

2²⁵⁸⁴³² 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 258432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343740).

258432 is an abundant number, since it is smaller than the sum of its proper divisors (429048).

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

258432 is an equidigital number, since it uses as much as digits as its factorization.

258432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 258432 is about 508.3620756902. The cubic root of 258432 is about 63.6964794938.

The spelling of 258432 in words is "two hundred fifty-eight thousand, four hundred thirty-two".