259260 has 48 divisors (see below), whose sum is σ = 756000. Its totient is φ = 66304.

The previous prime is 259229. The next prime is 259271. The reversal of 259260 is 62952.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 259260.

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 259260.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666 + ... + 1814.

It is an arithmetic number, because the mean of its divisors is an integer number (15750).

2²⁵⁹²⁶⁰ is an apocalyptic number.

259260 is a gapful number since it is divisible by the number (20) 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 259260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378000).

259260 is an abundant number, since it is smaller than the sum of its proper divisors (496740).

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

259260 is a wasteful number, since it uses less digits than its factorization.

259260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 259260 is about 509.1758046098. The cubic root of 259260 is about 63.7644334870.

The spelling of 259260 in words is "two hundred fifty-nine thousand, two hundred sixty".