871494400 has 216 divisors, whose sum is σ = 2521887200. Its totient is φ = 298045440.

The previous prime is 871494397. The next prime is 871494419. The reversal of 871494400 is 4494178.

871494400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 871494400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2195002 + ... + 2195398.

Almost surely, 2^871494400 is an apocalyptic number.

871494400 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 871494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260943600).

871494400 is an abundant number, since it is smaller than the sum of its proper divisors (1650392800).

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

871494400 is an equidigital number, since it uses as much as digits as its factorization.

871494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 871494400 is about 29521.0839909377. The cubic root of 871494400 is about 955.1865538353.

The spelling of 871494400 in words is "eight hundred seventy-one million, four hundred ninety-four thousand, four hundred".