259249680 has 160 divisors (see below), whose sum is σ = 940118400. Its totient is φ = 65484288.

The previous prime is 259249667. The next prime is 259249687. The reversal of 259249680 is 86942952.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (259249687) 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, 37882 + ... + 44198.

It is an arithmetic number, because the mean of its divisors is an integer number (5875740).

Almost surely, 2^259249680 is an apocalyptic number.

259249680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470059200).

259249680 is an abundant number, since it is smaller than the sum of its proper divisors (680868720).

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

259249680 is a wasteful number, since it uses less digits than its factorization.

259249680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6358 (or 6346 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 259249680 is about 16101.2322509800. The cubic root of 259249680 is about 637.6358741525.

The spelling of 259249680 in words is "two hundred fifty-nine million, two hundred forty-nine thousand, six hundred eighty".