871298400 has 432 divisors, whose sum is σ = 3419781120. Its totient is φ = 191923200.

The previous prime is 871298383. The next prime is 871298437. The reversal of 871298400 is 4892178.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3645481 + ... + 3645719.

It is an arithmetic number, because the mean of its divisors is an integer number (7916160).

Almost surely, 2^871298400 is an apocalyptic number.

871298400 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 871298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709890560).

871298400 is an abundant number, since it is smaller than the sum of its proper divisors (2548482720).

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

871298400 is a wasteful number, since it uses less digits than its factorization.

871298400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 871298400 is about 29517.7641429699. The cubic root of 871298400 is about 955.1149409822.

The spelling of 871298400 in words is "eight hundred seventy-one million, two hundred ninety-eight thousand, four hundred".