259435032 has 64 divisors (see below), whose sum is σ = 698664960. Its totient is φ = 80044800.

The previous prime is 259435031. The next prime is 259435037. The reversal of 259435032 is 230534952.

It is a junction number, because it is equal to n+sod(n) for n = 259434984 and 259435002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259435031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9532 + ... + 24692.

It is an arithmetic number, because the mean of its divisors is an integer number (10916640).

Almost surely, 2^259435032 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 259435032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349332480).

259435032 is an abundant number, since it is smaller than the sum of its proper divisors (439229928).

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

259435032 is a wasteful number, since it uses less digits than its factorization.

259435032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15224 (or 15220 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 259435032 is about 16106.9870553124. The cubic root of 259435032 is about 637.7877983896.

Adding to 259435032 its reverse (230534952), we get a palindrome (489969984).

The spelling of 259435032 in words is "two hundred fifty-nine million, four hundred thirty-five thousand, thirty-two".