259409196 has 96 divisors (see below), whose sum is σ = 697509120. Its totient is φ = 83317248.

The previous prime is 259409131. The next prime is 259409197. The reversal of 259409196 is 691904952.

259409196 is a `hidden beast` number, since 2 + 59 + 409 + 196 = 666.

It is not an unprimeable number, because it can be changed into a prime (259409197) 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, 385116 + ... + 385788.

It is an arithmetic number, because the mean of its divisors is an integer number (7265720).

Almost surely, 2^259409196 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 259409196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348754560).

259409196 is an abundant number, since it is smaller than the sum of its proper divisors (438099924).

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

259409196 is a wasteful number, since it uses less digits than its factorization.

259409196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 259409196 is about 16106.1850231518. The cubic root of 259409196 is about 637.7666261877.

The spelling of 259409196 in words is "two hundred fifty-nine million, four hundred nine thousand, one hundred ninety-six".