259940352 has 112 divisors (see below), whose sum is σ = 792675072. Its totient is φ = 74219520.

The previous prime is 259940339. The next prime is 259940357. The reversal of 259940352 is 253049952.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 259940352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259940357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171277 + ... + 172787.

It is an arithmetic number, because the mean of its divisors is an integer number (7077456).

Almost surely, 2^259940352 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 259940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396337536).

259940352 is an abundant number, since it is smaller than the sum of its proper divisors (532734720).

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

259940352 is an equidigital number, since it uses as much as digits as its factorization.

259940352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 259940352 is about 16122.6657845407. The cubic root of 259940352 is about 638.2016179971.

The spelling of 259940352 in words is "two hundred fifty-nine million, nine hundred forty thousand, three hundred fifty-two".