471492416304 has 360 divisors, whose sum is σ = 1678152237216. Its totient is φ = 120335155200.

The previous prime is 471492416261. The next prime is 471492416321. The reversal of 471492416304 is 403614294174.

471492416304 is a `hidden beast` number, since 4 + 7 + 1 + 4 + 9 + 2 + 4 + 1 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 471492416304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12574224 + ... + 12611664.

Almost surely, 2^471492416304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471492416304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839076118608).

471492416304 is an abundant number, since it is smaller than the sum of its proper divisors (1206659820912).

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

471492416304 is a wasteful number, since it uses less digits than its factorization.

471492416304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37537 (or 37497 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 471492416304 in words is "four hundred seventy-one billion, four hundred ninety-two million, four hundred sixteen thousand, three hundred four".