259290432 has 84 divisors (see below), whose sum is σ = 750736116. Its totient is φ = 85555200.

The previous prime is 259290407. The next prime is 259290463. The reversal of 259290432 is 234092952.

259290432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 222129216 + 37161216 = 14904^2 + 6096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55948 + ... + 60404.

Almost surely, 2^259290432 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 259290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375368058).

259290432 is an abundant number, since it is smaller than the sum of its proper divisors (491445684).

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

259290432 is a wasteful number, since it uses less digits than its factorization.

259290432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4576 (or 4563 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 259290432 is about 16102.4976944572. The cubic root of 259290432 is about 637.6692828414.

The spelling of 259290432 in words is "two hundred fifty-nine million, two hundred ninety thousand, four hundred thirty-two".