259796240 has 160 divisors (see below), whose sum is σ = 692098560. Its totient is φ = 89856000.

The previous prime is 259796237. The next prime is 259796267. The reversal of 259796240 is 42697952.

259796240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 259796191 and 259796200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2572190 + ... + 2572290.

It is an arithmetic number, because the mean of its divisors is an integer number (4325616).

Almost surely, 2^259796240 is an apocalyptic number.

259796240 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 259796240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280).

259796240 is an abundant number, since it is smaller than the sum of its proper divisors (432302320).

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

259796240 is a wasteful number, since it uses less digits than its factorization.

259796240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 259796240 is about 16118.1959288253. The cubic root of 259796240 is about 638.0836556611.

The spelling of 259796240 in words is "two hundred fifty-nine million, seven hundred ninety-six thousand, two hundred forty".