259268832 has 72 divisors (see below), whose sum is σ = 776117160. Its totient is φ = 81872640.

The previous prime is 259268827. The next prime is 259268839. The reversal of 259268832 is 238862952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259268839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18219 + ... + 29162.

It is an arithmetic number, because the mean of its divisors is an integer number (10779405).

Almost surely, 2^259268832 is an apocalyptic number.

It is an amenable number.

259268832 is an abundant number, since it is smaller than the sum of its proper divisors (516848328).

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

259268832 is a wasteful number, since it uses less digits than its factorization.

259268832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47416 (or 47405 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 259268832 is about 16101.8269770856. The cubic root of 259268832 is about 637.6515754917.

It can be divided in two parts, 259268 and 832, that added together give a square (260100 = 510²).

The spelling of 259268832 in words is "two hundred fifty-nine million, two hundred sixty-eight thousand, eight hundred thirty-two".