259732032 has 112 divisors (see below), whose sum is σ = 791260800. Its totient is φ = 73654272.

The previous prime is 259732027. The next prime is 259732049. The reversal of 259732032 is 230237952.

259732032 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 (112).

It is a junction number, because it is equal to n+sod(n) for n = 259731984 and 259732002.

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, 199608 + ... + 200904.

Almost surely, 2^259732032 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 259732032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395630400).

259732032 is an abundant number, since it is smaller than the sum of its proper divisors (531528768).

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

259732032 is a wasteful number, since it uses less digits than its factorization.

259732032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 259732032 is about 16116.2040195575. The cubic root of 259732032 is about 638.0310843959.

Adding to 259732032 its reverse (230237952), we get a palindrome (489969984).

The spelling of 259732032 in words is "two hundred fifty-nine million, seven hundred thirty-two thousand, thirty-two".