871859400 has 192 divisors, whose sum is σ = 2828390400. Its totient is φ = 221948160.

The previous prime is 871859363. The next prime is 871859411. The reversal of 871859400 is 4958178.

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, 1212241 + ... + 1212959.

It is an arithmetic number, because the mean of its divisors is an integer number (14731200).

Almost surely, 2^871859400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871859400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414195200).

871859400 is an abundant number, since it is smaller than the sum of its proper divisors (1956531000).

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

871859400 is a wasteful number, since it uses less digits than its factorization.

871859400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 871859400 is about 29527.2653660985. The cubic root of 871859400 is about 955.3198858951.

The spelling of 871859400 in words is "eight hundred seventy-one million, eight hundred fifty-nine thousand, four hundred".