259505280 has 96 divisors (see below), whose sum is σ = 896124060. Its totient is φ = 69199872.

The previous prime is 259505261. The next prime is 259505299. The reversal of 259505280 is 82505952.

It is an interprime number because it is at equal distance from previous prime (259505261) and next prime (259505299).

It can be written as a sum of positive squares in 2 ways, for example, as 259338816 + 166464 = 16104^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16767 + ... + 28286.

Almost surely, 2^259505280 is an apocalyptic number.

259505280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259505280 is an abundant number, since it is smaller than the sum of its proper divisors (636618780).

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

259505280 is a wasteful number, since it uses less digits than its factorization.

259505280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45078 (or 45063 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 259505280 is about 16109.1675762592. The cubic root of 259505280 is about 637.8453584316.

The spelling of 259505280 in words is "two hundred fifty-nine million, five hundred five thousand, two hundred eighty".