259805952 has 216 divisors, whose sum is σ = 870498720. Its totient is φ = 72990720.

The previous prime is 259805941. The next prime is 259805993. The reversal of 259805952 is 259508952.

259805952 is a `hidden beast` number, since 2 + 59 + 8 + 0 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 259805898 and 259805907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1435302 + ... + 1435482.

Almost surely, 2^259805952 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 259805952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435249360).

259805952 is an abundant number, since it is smaller than the sum of its proper divisors (610692768).

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

259805952 is a wasteful number, since it uses less digits than its factorization.

259805952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 259805952 is about 16118.4972004216. The cubic root of 259805952 is about 638.0916067529.

The spelling of 259805952 in words is "two hundred fifty-nine million, eight hundred five thousand, nine hundred fifty-two".