259584 has 60 divisors (see below), whose sum is σ = 748836. Its totient is φ = 79872.

The previous prime is 259583. The next prime is 259603. The reversal of 259584 is 485952.

Its product of digits (14400) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 8.

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 259584.

It is not an unprimeable number, because it can be changed into a prime (259583) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19962 + ... + 19974.

259584 is a Friedman number, since it can be written as 4^9-8^(5-2)*5, using all its digits and the basic arithmetic operations.

2²⁵⁹⁵⁸⁴ is an apocalyptic number.

259584 is a gapful number since it is divisible by the number (24) 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 259584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374418).

259584 is an abundant number, since it is smaller than the sum of its proper divisors (489252).

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

259584 is an equidigital number, since it uses as much as digits as its factorization.

259584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 18 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 259584 is about 509.4938664989. The cubic root of 259584 is about 63.7909847948.

The spelling of 259584 in words is "two hundred fifty-nine thousand, five hundred eighty-four".