447573168 has 160 divisors (see below), whose sum is σ = 1485619200. Its totient is φ = 126365184.

The previous prime is 447573167. The next prime is 447573173. The reversal of 447573168 is 861375744.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (564480) is a multiple of the sum of its prime divisors (1764).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447573167) 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, 268305 + ... + 269967.

It is an arithmetic number, because the mean of its divisors is an integer number (9285120).

Almost surely, 2^447573168 is an apocalyptic number.

447573168 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 447573168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742809600).

447573168 is an abundant number, since it is smaller than the sum of its proper divisors (1038046032).

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

447573168 is a wasteful number, since it uses less digits than its factorization.

447573168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1764 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 447573168 is about 21155.9251274909. The cubic root of 447573168 is about 764.9293898688.

The spelling of 447573168 in words is "four hundred forty-seven million, five hundred seventy-three thousand, one hundred sixty-eight".