259947996 has 192 divisors, whose sum is σ = 798336000. Its totient is φ = 63866880.

The previous prime is 259947971. The next prime is 259947997. The reversal of 259947996 is 699749952.

259947996 = 49² + 50² + ... + 920².

Its product of digits (11022480) is a multiple of the sum of its prime factors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259947997) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2384790 + ... + 2384898.

It is an arithmetic number, because the mean of its divisors is an integer number (4158000).

Almost surely, 2^259947996 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 259947996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399168000).

259947996 is an abundant number, since it is smaller than the sum of its proper divisors (538388004).

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

259947996 is a wasteful number, since it uses less digits than its factorization.

259947996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 250 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 60.

The square root of 259947996 is about 16122.9028403697. The cubic root of 259947996 is about 638.2078737468.

The spelling of 259947996 in words is "two hundred fifty-nine million, nine hundred forty-seven thousand, nine hundred ninety-six".