259398852 has 96 divisors (see below), whose sum is σ = 669513600. Its totient is φ = 77801472.

The previous prime is 259398851. The next prime is 259398863. The reversal of 259398852 is 258893952.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 259398795 and 259398804.

It is not an unprimeable number, because it can be changed into a prime (259398851) 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, 964174 + ... + 964442.

It is an arithmetic number, because the mean of its divisors is an integer number (6974100).

Almost surely, 2^259398852 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 259398852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334756800).

259398852 is an abundant number, since it is smaller than the sum of its proper divisors (410114748).

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

259398852 is a wasteful number, since it uses less digits than its factorization.

259398852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 483 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The square root of 259398852 is about 16105.8639010765. The cubic root of 259398852 is about 637.7581490459.

The spelling of 259398852 in words is "two hundred fifty-nine million, three hundred ninety-eight thousand, eight hundred fifty-two".