259280 has 40 divisors (see below), whose sum is σ = 690432. Its totient is φ = 88704.

The previous prime is 259277. The next prime is 259309. The reversal of 259280 is 82952.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×259280² = 134452236800, which contains 22 as substring.

It is a plaindrome in base 11.

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 259280.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329 + ... + 791.

2²⁵⁹²⁸⁰ is an apocalyptic number.

259280 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 259280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345216).

259280 is an abundant number, since it is smaller than the sum of its proper divisors (431152).

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

259280 is a wasteful number, since it uses less digits than its factorization.

259280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 259280 is about 509.1954438131. The cubic root of 259280 is about 63.7660730970.

The spelling of 259280 in words is "two hundred fifty-nine thousand, two hundred eighty".