259552840 has 32 divisors (see below), whose sum is σ = 584453880. Its totient is φ = 103739392.

The previous prime is 259552831. The next prime is 259552849. The reversal of 259552840 is 48255952.

It is an interprime number because it is at equal distance from previous prime (259552831) and next prime (259552849).

It can be written as a sum of positive squares in 4 ways, for example, as 224340484 + 35212356 = 14978^2 + 5934^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 259552793 and 259552802.

It is not an unprimeable number, because it can be changed into a prime (259552849) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92904 + ... + 95656.

Almost surely, 2^259552840 is an apocalyptic number.

259552840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259552840 is an abundant number, since it is smaller than the sum of its proper divisors (324901040).

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

259552840 is a wasteful number, since it uses less digits than its factorization.

259552840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5121 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 259552840 is about 16110.6436867060. The cubic root of 259552840 is about 637.8843224072.

The spelling of 259552840 in words is "two hundred fifty-nine million, five hundred fifty-two thousand, eight hundred forty".