447172128 has 144 divisors (see below), whose sum is σ = 1386927360. Its totient is φ = 135839232.

The previous prime is 447172111. The next prime is 447172133. The reversal of 447172128 is 821271744.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 447172092 and 447172101.

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 23 ways as a sum of consecutive naturals, for example, 310033 + ... + 311471.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2^447172128 is an apocalyptic number.

447172128 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 447172128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693463680).

447172128 is an abundant number, since it is smaller than the sum of its proper divisors (939755232).

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

447172128 is a wasteful number, since it uses less digits than its factorization.

447172128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551 (or 1540 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 447172128 is about 21146.4448075794. Note that the first 3 decimals coincide. The cubic root of 447172128 is about 764.7008544586.

The spelling of 447172128 in words is "four hundred forty-seven million, one hundred seventy-two thousand, one hundred twenty-eight".