259566480 has 60 divisors (see below), whose sum is σ = 871713180. Its totient is φ = 69217536.

The previous prime is 259566473. The next prime is 259566487. The reversal of 259566480 is 84665952.

259566480 is a `hidden beast` number, since 2 + 5 + 9 + 566 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (259566473) and next prime (259566487).

It can be written as a sum of positive squares in 2 ways, for example, as 57699216 + 201867264 = 7596^2 + 14208^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 (259566487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179535 + ... + 180974.

It is an arithmetic number, because the mean of its divisors is an integer number (14528553).

Almost surely, 2^259566480 is an apocalyptic number.

259566480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259566480 is an abundant number, since it is smaller than the sum of its proper divisors (612146700).

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

259566480 is a wasteful number, since it uses less digits than its factorization.

259566480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360528 (or 360519 counting only the distinct ones).

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

The square root of 259566480 is about 16111.0670037710. The cubic root of 259566480 is about 637.8954962267.

The spelling of 259566480 in words is "two hundred fifty-nine million, five hundred sixty-six thousand, four hundred eighty".