259983360 has 576 divisors, whose sum is σ = 1144765440. Its totient is φ = 53084160.

The previous prime is 259983343. The next prime is 259983379. The reversal of 259983360 is 63389952.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8386545 + ... + 8386575.

It is an arithmetic number, because the mean of its divisors is an integer number (1987440).

Almost surely, 2^259983360 is an apocalyptic number.

259983360 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 259983360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572382720).

259983360 is an abundant number, since it is smaller than the sum of its proper divisors (884782080).

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

259983360 is a wasteful number, since it uses less digits than its factorization.

259983360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 259983360 is about 16123.9995038452. Note that the first 3 decimals coincide. The cubic root of 259983360 is about 638.2368135863.

The spelling of 259983360 in words is "two hundred fifty-nine million, nine hundred eighty-three thousand, three hundred sixty".