258496 has 28 divisors (see below), whose sum is σ = 587248. Its totient is φ = 110592.

The previous prime is 258491. The next prime is 258499. The reversal of 258496 is 694852.

It is a happy number.

258496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (28).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258491) 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, 160 + ... + 736.

2²⁵⁸⁴⁹⁶ 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 258496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293624).

258496 is an abundant number, since it is smaller than the sum of its proper divisors (328752).

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

258496 is an equidigital number, since it uses as much as digits as its factorization.

258496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 586 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 258496 is about 508.4250190539. The cubic root of 258496 is about 63.7017371479.

The spelling of 258496 in words is "two hundred fifty-eight thousand, four hundred ninety-six".