871346400 has 72 divisors (see below), whose sum is σ = 2836240344. Its totient is φ = 232358400.

The previous prime is 871346363. The next prime is 871346423. The reversal of 871346400 is 4643178.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 179131 + ... + 183930.

It is an arithmetic number, because the mean of its divisors is an integer number (39392227).

Almost surely, 2^871346400 is an apocalyptic number.

871346400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

871346400 is an abundant number, since it is smaller than the sum of its proper divisors (1964893944).

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

871346400 is a wasteful number, since it uses less digits than its factorization.

871346400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363084 (or 363071 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 871346400 is about 29518.5772014845. The cubic root of 871346400 is about 955.1324798167.

Adding to 871346400 its reverse (4643178), we get a palindrome (875989578).

The spelling of 871346400 in words is "eight hundred seventy-one million, three hundred forty-six thousand, four hundred".