259871040 has 336 divisors, whose sum is σ = 1051779456. Its totient is φ = 58060800.

The previous prime is 259871033. The next prime is 259871069. The reversal of 259871040 is 40178952.

259871040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 259870986 and 259871004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411525 + ... + 412155.

It is an arithmetic number, because the mean of its divisors is an integer number (3130296).

Almost surely, 2^259871040 is an apocalyptic number.

259871040 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 259871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525889728).

259871040 is an abundant number, since it is smaller than the sum of its proper divisors (791908416).

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

259871040 is a wasteful number, since it uses less digits than its factorization.

259871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 259871040 is about 16120.5161207698. The cubic root of 259871040 is about 638.1448883635.

The spelling of 259871040 in words is "two hundred fifty-nine million, eight hundred seventy-one thousand, forty".