259906764 has 48 divisors (see below), whose sum is σ = 655925760. Its totient is φ = 79625280.

The previous prime is 259906763. The next prime is 259906799. The reversal of 259906764 is 467609952.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (259906763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33799 + ... + 40769.

It is an arithmetic number, because the mean of its divisors is an integer number (13665120).

Almost surely, 2^259906764 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 259906764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327962880).

259906764 is an abundant number, since it is smaller than the sum of its proper divisors (396018996).

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

259906764 is a wasteful number, since it uses less digits than its factorization.

259906764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7230 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The square root of 259906764 is about 16121.6241117327. The cubic root of 259906764 is about 638.1741285633.

The spelling of 259906764 in words is "two hundred fifty-nine million, nine hundred six thousand, seven hundred sixty-four".