259509920 has 96 divisors (see below), whose sum is σ = 647232768. Its totient is φ = 98131968.

The previous prime is 259509919. The next prime is 259509931. The reversal of 259509920 is 29905952.

It is a happy 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, 356597 + ... + 357323.

It is an arithmetic number, because the mean of its divisors is an integer number (6742008).

Almost surely, 2^259509920 is an apocalyptic number.

259509920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323616384).

259509920 is an abundant number, since it is smaller than the sum of its proper divisors (387722848).

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

259509920 is a wasteful number, since it uses less digits than its factorization.

259509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 41.

The square root of 259509920 is about 16109.3115929887. The cubic root of 259509920 is about 637.8491600046.

The spelling of 259509920 in words is "two hundred fifty-nine million, five hundred nine thousand, nine hundred twenty".