259975632 has 160 divisors (see below), whose sum is σ = 815979520. Its totient is φ = 69672960.

The previous prime is 259975619. The next prime is 259975637. The reversal of 259975632 is 236579952.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259975637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1232007 + ... + 1232217.

It is an arithmetic number, because the mean of its divisors is an integer number (5099872).

Almost surely, 2^259975632 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 259975632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407989760).

259975632 is an abundant number, since it is smaller than the sum of its proper divisors (556003888).

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

259975632 is a wasteful number, since it uses less digits than its factorization.

259975632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 435 counting only the distinct ones).

The product of its digits is 1020600, while the sum is 48.

The square root of 259975632 is about 16123.7598592884. The cubic root of 259975632 is about 638.2304896650.

The spelling of 259975632 in words is "two hundred fifty-nine million, nine hundred seventy-five thousand, six hundred thirty-two".