471861964800 has 936 divisors, whose sum is σ = 1788229501344. Its totient is φ = 118688317440.

The previous prime is 471861964727. The next prime is 471861964811. The reversal of 471861964800 is 8469168174.

471861964800 is a `hidden beast` number, since 4 + 7 + 18 + 61 + 96 + 480 + 0 = 666.

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, 2395238302 + ... + 2395238498.

It is an arithmetic number, because the mean of its divisors is an integer number (1910501604).

Almost surely, 2^471861964800 is an apocalyptic number.

471861964800 is a gapful number since it is divisible by the number (40) 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 471861964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894114750672).

471861964800 is an abundant number, since it is smaller than the sum of its proper divisors (1316367536544).

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

471861964800 is a wasteful number, since it uses less digits than its factorization.

471861964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 471861964800 in words is "four hundred seventy-one billion, eight hundred sixty-one million, nine hundred sixty-four thousand, eight hundred".