259555140 has 72 divisors (see below), whose sum is σ = 847887768. Its totient is φ = 63889920.

The previous prime is 259555129. The next prime is 259555171. The reversal of 259555140 is 41555952.

259555140 is a `hidden beast` number, since 2 + 595 + 55 + 14 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17690436 + 241864704 = 4206^2 + 15552^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 259555095 and 259555104.

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 23 ways as a sum of consecutive naturals, for example, 53121 + ... + 57800.

It is an arithmetic number, because the mean of its divisors is an integer number (11776219).

Almost surely, 2^259555140 is an apocalyptic number.

259555140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259555140 is an abundant number, since it is smaller than the sum of its proper divisors (588332628).

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

259555140 is a wasteful number, since it uses less digits than its factorization.

259555140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110949 (or 110944 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

The square root of 259555140 is about 16110.7150679292. The cubic root of 259555140 is about 637.8862065831.

The spelling of 259555140 in words is "two hundred fifty-nine million, five hundred fifty-five thousand, one hundred forty".