259868952 has 192 divisors, whose sum is σ = 860745600. Its totient is φ = 72394560.

The previous prime is 259868941. The next prime is 259868957.

259868952 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259868957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 454827 + ... + 455397.

It is an arithmetic number, because the mean of its divisors is an integer number (4483050).

Almost surely, 2^259868952 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 259868952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430372800).

259868952 is an abundant number, since it is smaller than the sum of its proper divisors (600876648).

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

259868952 is a wasteful number, since it uses less digits than its factorization.

259868952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 626 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 259868952 is about 16120.4513584453. The cubic root of 259868952 is about 638.1431792464.

The spelling of 259868952 in words is "two hundred fifty-nine million, eight hundred sixty-eight thousand, nine hundred fifty-two".