259260960 has 288 divisors, whose sum is σ = 969397632. Its totient is φ = 58060800.

The previous prime is 259260913. The next prime is 259260983. The reversal of 259260960 is 69062952.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1716885 + ... + 1717035.

It is an arithmetic number, because the mean of its divisors is an integer number (3365964).

Almost surely, 2^259260960 is an apocalyptic number.

259260960 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 259260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484698816).

259260960 is an abundant number, since it is smaller than the sum of its proper divisors (710136672).

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

259260960 is a wasteful number, since it uses less digits than its factorization.

259260960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 259260960 is about 16101.5825309191. The cubic root of 259260960 is about 637.6451219020.

The spelling of 259260960 in words is "two hundred fifty-nine million, two hundred sixty thousand, nine hundred sixty".