259604352 has 320 divisors, whose sum is σ = 913308000. Its totient is φ = 73156608.

The previous prime is 259604351. The next prime is 259604369. The reversal of 259604352 is 253406952.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259604351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3556188 + ... + 3556260.

Almost surely, 2^259604352 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 259604352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456654000).

259604352 is an abundant number, since it is smaller than the sum of its proper divisors (653703648).

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

259604352 is an frugal number, since it uses more digits than its factorization.

259604352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 259604352 is about 16112.2423020509. The cubic root of 259604352 is about 637.9265187267.

The spelling of 259604352 in words is "two hundred fifty-nine million, six hundred four thousand, three hundred fifty-two".