472850917747200 has 1680 divisors, whose sum is σ = 1816806347237376. Its totient is φ = 121779774259200.

The previous prime is 472850917747183. The next prime is 472850917747207. The reversal of 472850917747200 is 2747719058274.

472850917747200 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 5 + 0 + 91 + 77 + 472 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (472850917747207) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 175585189054 + ... + 175585191746.

Almost surely, 2^{472850917747200} is an apocalyptic number.

472850917747200 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 472850917747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908403173618688).

472850917747200 is an abundant number, since it is smaller than the sum of its proper divisors (1343955429490176).

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

472850917747200 is an equidigital number, since it uses as much as digits as its factorization.

472850917747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377 (or 3341 counting only the distinct ones).

The product of its (nonzero) digits is 55319040, while the sum is 63.

The spelling of 472850917747200 in words is "four hundred seventy-two trillion, eight hundred fifty billion, nine hundred seventeen million, seven hundred forty-seven thousand, two hundred".