259824 has 20 divisors (see below), whose sum is σ = 671336. Its totient is φ = 86592.

The previous prime is 259823. The next prime is 259829. The reversal of 259824 is 428952.

It is a junction number, because it is equal to n+sod(n) for n = 259791 and 259800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259823) 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, 2659 + ... + 2754.

2²⁵⁹⁸²⁴ is an apocalyptic number.

259824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

259824 is an abundant number, since it is smaller than the sum of its proper divisors (411512).

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

259824 is a wasteful number, since it uses less digits than its factorization.

259824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5424 (or 5418 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 259824 is about 509.7293399442. The cubic root of 259824 is about 63.8106381896.

The spelling of 259824 in words is "two hundred fifty-nine thousand, eight hundred twenty-four".