472317908040 has 192 divisors, whose sum is σ = 1676236161600. Its totient is φ = 114388185600.

The previous prime is 472317908021. The next prime is 472317908047. The reversal of 472317908040 is 40809713274.

472317908040 is a `hidden beast` number, since 472 + 3 + 17 + 90 + 80 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (472317908047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3984751 + ... + 4101569.

It is an arithmetic number, because the mean of its divisors is an integer number (8730396675).

Almost surely, 2^472317908040 is an apocalyptic number.

472317908040 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 472317908040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838118080800).

472317908040 is an abundant number, since it is smaller than the sum of its proper divisors (1203918253560).

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

472317908040 is a wasteful number, since it uses less digits than its factorization.

472317908040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117868 (or 117861 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 472317908040 in words is "four hundred seventy-two billion, three hundred seventeen million, nine hundred eight thousand, forty".