259320960 has 256 divisors, whose sum is σ = 942480000. Its totient is φ = 67350528.

The previous prime is 259320959. The next prime is 259320961. The reversal of 259320960 is 69023952.

259320960 is a `hidden beast` number, since 2 + 593 + 2 + 0 + 9 + 60 = 666.

259320960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (259320959) and next prime (259320961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (259320961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 742866 + ... + 743214.

Almost surely, 2^259320960 is an apocalyptic number.

259320960 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 259320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471240000).

259320960 is an abundant number, since it is smaller than the sum of its proper divisors (683159040).

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

259320960 is a wasteful number, since it uses less digits than its factorization.

259320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 259320960 is about 16103.4455940336. The cubic root of 259320960 is about 637.6943075518.

The spelling of 259320960 in words is "two hundred fifty-nine million, three hundred twenty thousand, nine hundred sixty".