259465680 has 160 divisors (see below), whose sum is σ = 905358720. Its totient is φ = 69144192.

The previous prime is 259465673. The next prime is 259465681. The reversal of 259465680 is 86564952.

259465680 is a `hidden beast` number, since 2 + 594 + 6 + 56 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259465681) 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, 174219 + ... + 175701.

It is an arithmetic number, because the mean of its divisors is an integer number (5658492).

Almost surely, 2^259465680 is an apocalyptic number.

259465680 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 259465680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452679360).

259465680 is an abundant number, since it is smaller than the sum of its proper divisors (645893040).

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

259465680 is an equidigital number, since it uses as much as digits as its factorization.

259465680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1517 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 259465680 is about 16107.9384155763. The cubic root of 259465680 is about 637.8129121282.

It can be divided in two parts, 25946 and 5680, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 259465680 in words is "two hundred fifty-nine million, four hundred sixty-five thousand, six hundred eighty".