259900992 has 168 divisors, whose sum is σ = 816848760. Its totient is φ = 78520320.

The previous prime is 259900961. The next prime is 259901003. The reversal of 259900992 is 299009952.

It can be written as a sum of positive squares in 4 ways, for example, as 21013056 + 238887936 = 4584^2 + 15456^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 456484 + ... + 457052.

It is an arithmetic number, because the mean of its divisors is an integer number (4862195).

Almost surely, 2^259900992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259900992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408424380).

259900992 is an abundant number, since it is smaller than the sum of its proper divisors (556947768).

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

259900992 is a wasteful number, since it uses less digits than its factorization.

259900992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 259900992 is about 16121.4450965166. The cubic root of 259900992 is about 638.1694043457.

The spelling of 259900992 in words is "two hundred fifty-nine million, nine hundred thousand, nine hundred ninety-two".