259292880 has 320 divisors, whose sum is σ = 1114214400. Its totient is φ = 53844480.

The previous prime is 259292849. The next prime is 259292903. The reversal of 259292880 is 88292952.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165541 + ... + 167099.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^259292880 is an apocalyptic number.

259292880 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 259292880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557107200).

259292880 is an abundant number, since it is smaller than the sum of its proper divisors (854921520).

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

259292880 is a wasteful number, since it uses less digits than its factorization.

259292880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 259292880 is about 16102.5737073301. The cubic root of 259292880 is about 637.6712896123.

The spelling of 259292880 in words is "two hundred fifty-nine million, two hundred ninety-two thousand, eight hundred eighty".