259916320 has 48 divisors (see below), whose sum is σ = 621855360. Its totient is φ = 102645504.

The previous prime is 259916311. The next prime is 259916323. The reversal of 259916320 is 23619952.

It is a self number, because there is not a number n which added to its sum of digits gives 259916320.

It is not an unprimeable number, because it can be changed into a prime (259916323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2359 + ... + 22921.

It is an arithmetic number, because the mean of its divisors is an integer number (12955320).

Almost surely, 2^259916320 is an apocalyptic number.

259916320 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 259916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310927680).

259916320 is an abundant number, since it is smaller than the sum of its proper divisors (361939040).

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

259916320 is a wasteful number, since it uses less digits than its factorization.

259916320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20657 (or 20649 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 259916320 is about 16121.9204811338. The cubic root of 259916320 is about 638.1819497234.

The spelling of 259916320 in words is "two hundred fifty-nine million, nine hundred sixteen thousand, three hundred twenty".