259844480 has 128 divisors (see below), whose sum is σ = 733224960. Its totient is φ = 86169600.

The previous prime is 259844479. The next prime is 259844491. The reversal of 259844480 is 84448952.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137945 + ... + 139815.

It is an arithmetic number, because the mean of its divisors is an integer number (5728320).

Almost surely, 2^259844480 is an apocalyptic number.

259844480 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 259844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366612480).

259844480 is an abundant number, since it is smaller than the sum of its proper divisors (473380480).

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

259844480 is a wasteful number, since it uses less digits than its factorization.

259844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 44.

The square root of 259844480 is about 16119.6923047557. The cubic root of 259844480 is about 638.1231471879.

The spelling of 259844480 in words is "two hundred fifty-nine million, eight hundred forty-four thousand, four hundred eighty".