259424496 has 120 divisors (see below), whose sum is σ = 744260400. Its totient is φ = 84338688.

The previous prime is 259424483. The next prime is 259424509. The reversal of 259424496 is 694424952.

259424496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (259424483) and next prime (259424509).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741030 + ... + 1741178.

It is an arithmetic number, because the mean of its divisors is an integer number (6202170).

Almost surely, 2^259424496 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 259424496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372130200).

259424496 is an abundant number, since it is smaller than the sum of its proper divisors (484835904).

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

259424496 is a wasteful number, since it uses less digits than its factorization.

259424496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 374 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 259424496 is about 16106.6599889611. The cubic root of 259424496 is about 637.7791644705.

The spelling of 259424496 in words is "two hundred fifty-nine million, four hundred twenty-four thousand, four hundred ninety-six".