259915520 has 72 divisors (see below), whose sum is σ = 625831920. Its totient is φ = 103424000.

The previous prime is 259915507. The next prime is 259915561. The reversal of 259915520 is 25519952.

It is a congruent number.

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, 320876 + ... + 321684.

It is an arithmetic number, because the mean of its divisors is an integer number (8692110).

Almost surely, 2^259915520 is an apocalyptic number.

259915520 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 259915520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312915960).

259915520 is an abundant number, since it is smaller than the sum of its proper divisors (365916400).

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

259915520 is an equidigital number, since it uses as much as digits as its factorization.

259915520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 38.

The square root of 259915520 is about 16121.8956701748. The cubic root of 259915520 is about 638.1812949664.

The spelling of 259915520 in words is "two hundred fifty-nine million, nine hundred fifteen thousand, five hundred twenty".