475005168 has 160 divisors (see below), whose sum is σ = 1565971200. Its totient is φ = 136339200.

The previous prime is 475005161. The next prime is 475005197. The reversal of 475005168 is 861500574.

475005168 is a `hidden beast` number, since 47 + 500 + 51 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475005161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87658 + ... + 92918.

It is an arithmetic number, because the mean of its divisors is an integer number (9787320).

Almost surely, 2^475005168 is an apocalyptic number.

475005168 is a gapful number since it is divisible by the number (48) 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 475005168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782985600).

475005168 is an abundant number, since it is smaller than the sum of its proper divisors (1090966032).

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

475005168 is a wasteful number, since it uses less digits than its factorization.

475005168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 475005168 is about 21794.6132794321. The cubic root of 475005168 is about 780.2482050336.

The spelling of 475005168 in words is "four hundred seventy-five million, five thousand, one hundred sixty-eight".