259488720 has 120 divisors (see below), whose sum is σ = 883566216. Its totient is φ = 68235264.

The previous prime is 259488701. The next prime is 259488721. The reversal of 259488720 is 27884952.

It can be written as a sum of positive squares in 4 ways, for example, as 26132544 + 233356176 = 5112^2 + 15276^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259488721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50092 + ... + 55028.

Almost surely, 2^259488720 is an apocalyptic number.

259488720 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 259488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441783108).

259488720 is an abundant number, since it is smaller than the sum of its proper divisors (624077496).

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

259488720 is a wasteful number, since it uses less digits than its factorization.

259488720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5029 (or 5020 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 259488720 is about 16108.6535750199. The cubic root of 259488720 is about 637.8317903790.

The spelling of 259488720 in words is "two hundred fifty-nine million, four hundred eighty-eight thousand, seven hundred twenty".