259909952 has 56 divisors (see below), whose sum is σ = 535472640. Its totient is φ = 125038080.

The previous prime is 259909943. The next prime is 259909963.

259909952 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 259909952.

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, 533453 + ... + 533939.

Almost surely, 2^259909952 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 259909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267736320).

259909952 is an abundant number, since it is smaller than the sum of its proper divisors (275562688).

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

259909952 is a wasteful number, since it uses less digits than its factorization.

259909952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 656100, while the sum is 50.

The square root of 259909952 is about 16121.7229848425. The cubic root of 259909952 is about 638.1767378205.

The spelling of 259909952 in words is "two hundred fifty-nine million, nine hundred nine thousand, nine hundred fifty-two".