447163920 has 360 divisors, whose sum is σ = 1829091264. Its totient is φ = 95883264.

The previous prime is 447163901. The next prime is 447163943. The reversal of 447163920 is 29361744.

It is a tau number, because it is divible by the number of its divisors (360).

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

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 71 ways as a sum of consecutive naturals, for example, 1456407 + ... + 1456713.

Almost surely, 2^447163920 is an apocalyptic number.

447163920 is a gapful number since it is divisible by the number (40) 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 447163920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914545632).

447163920 is an abundant number, since it is smaller than the sum of its proper divisors (1381927344).

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

447163920 is a wasteful number, since it uses less digits than its factorization.

447163920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 447163920 is about 21146.2507315127. The cubic root of 447163920 is about 764.6961756466.

The spelling of 447163920 in words is "four hundred forty-seven million, one hundred sixty-three thousand, nine hundred twenty".