871345440 has 432 divisors, whose sum is σ = 3539318328. Its totient is φ = 194568192.

The previous prime is 871345417. The next prime is 871345459. The reversal of 871345440 is 44543178.

871345440 is a `hidden beast` number, since 87 + 1 + 34 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 665020944 + 206324496 = 25788^2 + 14364^2 .

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 = 871345395 and 871345404.

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 71 ways as a sum of consecutive naturals, for example, 3739564 + ... + 3739796.

Almost surely, 2^871345440 is an apocalyptic number.

871345440 is a gapful number since it is divisible by the number (80) 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 871345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769659164).

871345440 is an abundant number, since it is smaller than the sum of its proper divisors (2667972888).

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

871345440 is a wasteful number, since it uses less digits than its factorization.

871345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 871345440 is about 29518.5609405337. The cubic root of 871345440 is about 955.1321290463.

The spelling of 871345440 in words is "eight hundred seventy-one million, three hundred forty-five thousand, four hundred forty".