259980 has 48 divisors (see below), whose sum is σ = 833280. Its totient is φ = 59328.

The previous prime is 259967. The next prime is 259991. The reversal of 259980 is 89952.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 111 + ... + 729.

It is an arithmetic number, because the mean of its divisors is an integer number (17360).

2²⁵⁹⁹⁸⁰ is an apocalyptic number.

259980 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 259980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640).

259980 is an abundant number, since it is smaller than the sum of its proper divisors (573300).

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

259980 is a wasteful number, since it uses less digits than its factorization.

259980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 259980 is about 509.8823393686. The cubic root of 259980 is about 63.8234064071.

The spelling of 259980 in words is "two hundred fifty-nine thousand, nine hundred eighty".