259949952 has 64 divisors (see below), whose sum is σ = 767223600. Its totient is φ = 86648832.

The previous prime is 259949917. The next prime is 259949953.

259949952 is a `hidden beast` number, since 2 + 599 + 49 + 9 + 5 + 2 = 666.

259949952 is nontrivially palindromic in base 10.

259949952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

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 (259949953) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34153 + ... + 41064.

Almost surely, 2^259949952 is an apocalyptic number.

It is an amenable number.

259949952 is an abundant number, since it is smaller than the sum of its proper divisors (507273648).

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

259949952 is an equidigital number, since it uses as much as digits as its factorization.

259949952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75240 (or 75222 counting only the distinct ones).

The product of its digits is 2624400, while the sum is 54.

The square root of 259949952 is about 16122.9634993074. The cubic root of 259949952 is about 638.2094744920.

The spelling of 259949952 in words is "two hundred fifty-nine million, nine hundred forty-nine thousand, nine hundred fifty-two".