472817083200 has 1008 divisors, whose sum is σ = 2063586172032. Its totient is φ = 92454912000.

The previous prime is 472817083199. The next prime is 472817083213. The reversal of 472817083200 is 2380718274.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 69111780 + ... + 69118620.

It is an arithmetic number, because the mean of its divisors is an integer number (2047208504).

Almost surely, 2^472817083200 is an apocalyptic number.

472817083200 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 472817083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031793086016).

472817083200 is an abundant number, since it is smaller than the sum of its proper divisors (1590769088832).

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

472817083200 is a wasteful number, since it uses less digits than its factorization.

472817083200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6886 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 472817083200 in words is "four hundred seventy-two billion, eight hundred seventeen million, eighty-three thousand, two hundred".