259790496 has 96 divisors (see below), whose sum is σ = 820431360. Its totient is φ = 70315776.

The previous prime is 259790459. The next prime is 259790507. The reversal of 259790496 is 694097952.

259790496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×259790496² = 134982203623852032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595 + ... + 22941.

It is an arithmetic number, because the mean of its divisors is an integer number (8546160).

Almost surely, 2^259790496 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 259790496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410215680).

259790496 is an abundant number, since it is smaller than the sum of its proper divisors (560640864).

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

259790496 is a wasteful number, since it uses less digits than its factorization.

259790496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20386 (or 20378 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 259790496 is about 16118.0177441272. The cubic root of 259790496 is about 638.0789530275.

The spelling of 259790496 in words is "two hundred fifty-nine million, seven hundred ninety thousand, four hundred ninety-six".