259796160 has 336 divisors, whose sum is σ = 1001853216. Its totient is φ = 63700992.

The previous prime is 259796113. The next prime is 259796191. The reversal of 259796160 is 61697952.

It is a happy number.

259796160 is a `hidden beast` number, since 25 + 9 + 7 + 9 + 616 + 0 = 666.

259796160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1010752 + ... + 1011008.

It is an arithmetic number, because the mean of its divisors is an integer number (2981706).

Almost surely, 2^259796160 is an apocalyptic number.

259796160 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 259796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500926608).

259796160 is an abundant number, since it is smaller than the sum of its proper divisors (742057056).

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

259796160 is a wasteful number, since it uses less digits than its factorization.

259796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 259796160 is about 16118.1934471578. The cubic root of 259796160 is about 638.0835901653.

The spelling of 259796160 in words is "two hundred fifty-nine million, seven hundred ninety-six thousand, one hundred sixty".