259550720 has 160 divisors (see below), whose sum is σ = 732140640. Its totient is φ = 86999040.

The previous prime is 259550719. The next prime is 259550741. The reversal of 259550720 is 27055952.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 365726 + ... + 366434.

It is an arithmetic number, because the mean of its divisors is an integer number (4575879).

Almost surely, 2^259550720 is an apocalyptic number.

259550720 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 259550720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366070320).

259550720 is an abundant number, since it is smaller than the sum of its proper divisors (472589920).

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

259550720 is a wasteful number, since it uses less digits than its factorization.

259550720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 259550720 is about 16110.5778915593. The cubic root of 259550720 is about 637.8825856787.

The spelling of 259550720 in words is "two hundred fifty-nine million, five hundred fifty thousand, seven hundred twenty".