473983272 has 192 divisors, whose sum is σ = 1612872000. Its totient is φ = 128241792.

The previous prime is 473983267. The next prime is 473983303. The reversal of 473983272 is 272389374.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199918 + ... + 202274.

It is an arithmetic number, because the mean of its divisors is an integer number (8400375).

Almost surely, 2^473983272 is an apocalyptic number.

473983272 is a gapful number since it is divisible by the number (42) 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 473983272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806436000).

473983272 is an abundant number, since it is smaller than the sum of its proper divisors (1138888728).

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

473983272 is a wasteful number, since it uses less digits than its factorization.

473983272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2388 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 473983272 is about 21771.1568824443. The cubic root of 473983272 is about 779.6882778056.

The spelling of 473983272 in words is "four hundred seventy-three million, nine hundred eighty-three thousand, two hundred seventy-two".