471991669200 has 1440 divisors, whose sum is σ = 1879946640000. Its totient is φ = 109107855360.

The previous prime is 471991669159. The next prime is 471991669213. The reversal of 471991669200 is 2966199174.

It is a happy number.

471991669200 is a `hidden beast` number, since 471 + 9 + 9 + 166 + 9 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×471991669200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4330198746 + ... + 4330198854.

It is an arithmetic number, because the mean of its divisors is an integer number (1305518500).

Almost surely, 2^471991669200 is an apocalyptic number.

471991669200 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 471991669200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939973320000).

471991669200 is an abundant number, since it is smaller than the sum of its proper divisors (1407954970800).

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

471991669200 is a wasteful number, since it uses less digits than its factorization.

471991669200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 471991669200 in words is "four hundred seventy-one billion, nine hundred ninety-one million, six hundred sixty-nine thousand, two hundred".