475407816 has 192 divisors, whose sum is σ = 1405440000. Its totient is φ = 133436160.

The previous prime is 475407809. The next prime is 475407851. The reversal of 475407816 is 618704574.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2388885 + ... + 2389083.

It is an arithmetic number, because the mean of its divisors is an integer number (7320000).

Almost surely, 2^475407816 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 475407816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702720000).

475407816 is an abundant number, since it is smaller than the sum of its proper divisors (930032184).

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

475407816 is a wasteful number, since it uses less digits than its factorization.

475407816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 475407816 is about 21803.8486510983. The cubic root of 475407816 is about 780.4686073033.

The spelling of 475407816 in words is "four hundred seventy-five million, four hundred seven thousand, eight hundred sixteen".