475809984 has 224 divisors, whose sum is σ = 1536192000. Its totient is φ = 143520768.

The previous prime is 475809959. The next prime is 475810001. The reversal of 475809984 is 489908574.

475809984 is a `hidden beast` number, since 475 + 8 + 0 + 99 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 475809984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1325197 + ... + 1325555.

It is an arithmetic number, because the mean of its divisors is an integer number (6858000).

Almost surely, 2^475809984 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 475809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768096000).

475809984 is an abundant number, since it is smaller than the sum of its proper divisors (1060382016).

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

475809984 is a wasteful number, since it uses less digits than its factorization.

475809984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 475809984 is about 21813.0691100542. The cubic root of 475809984 is about 780.6886226401.

The spelling of 475809984 in words is "four hundred seventy-five million, eight hundred nine thousand, nine hundred eighty-four".