259504 has 30 divisors (see below), whose sum is σ = 586644. Its totient is φ = 110880.

The previous prime is 259499. The next prime is 259507. The reversal of 259504 is 405952.

It is not an unprimeable number, because it can be changed into a prime (259507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 619 + ... + 949.

2²⁵⁹⁵⁰⁴ 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 259504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293322).

259504 is an abundant number, since it is smaller than the sum of its proper divisors (327140).

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

259504 is a wasteful number, since it uses less digits than its factorization.

259504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 259504 is about 509.4153511625. The cubic root of 259504 is about 63.7844309714.

The spelling of 259504 in words is "two hundred fifty-nine thousand, five hundred four".