259520 has 28 divisors (see below), whose sum is σ = 618744. Its totient is φ = 103680.

The previous prime is 259517. The next prime is 259531. The reversal of 259520 is 25952.

It is a happy number.

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 259520.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (22098).

2²⁵⁹⁵²⁰ is an apocalyptic number.

259520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259520 is an abundant number, since it is smaller than the sum of its proper divisors (359224).

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

259520 is an equidigital number, since it uses as much as digits as its factorization.

259520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 259520 is about 509.4310551979. The cubic root of 259520 is about 63.7857418438.

The spelling of 259520 in words is "two hundred fifty-nine thousand, five hundred twenty".