259828952 has 64 divisors (see below), whose sum is σ = 546847200. Its totient is φ = 115015680.

The previous prime is 259828897. The next prime is 259828981.

259828952 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×259828952² = 135022168594836608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 259828952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498452 + ... + 498972.

Almost surely, 2^259828952 is an apocalyptic number.

It is an amenable number.

259828952 is an abundant number, since it is smaller than the sum of its proper divisors (287018248).

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

259828952 is a wasteful number, since it uses less digits than its factorization.

259828952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 752 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 50.

The square root of 259828952 is about 16119.2106506491. The cubic root of 259828952 is about 638.1104357722.

The spelling of 259828952 in words is "two hundred fifty-nine million, eight hundred twenty-eight thousand, nine hundred fifty-two".