447088128 has 80 divisors (see below), whose sum is σ = 1232264880. Its totient is φ = 143876096.

The previous prime is 447088123. The next prime is 447088139. The reversal of 447088128 is 821880744.

It is a self number, because there is not a number n which added to its sum of digits gives 447088128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447088123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39526 + ... + 49562.

It is an arithmetic number, because the mean of its divisors is an integer number (15403311).

Almost surely, 2^447088128 is an apocalyptic number.

447088128 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 447088128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616132440).

447088128 is an abundant number, since it is smaller than the sum of its proper divisors (785176752).

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

447088128 is a wasteful number, since it uses less digits than its factorization.

447088128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10087 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 42.

The square root of 447088128 is about 21144.4585648344. The cubic root of 447088128 is about 764.6529691737.

The spelling of 447088128 in words is "four hundred forty-seven million, eighty-eight thousand, one hundred twenty-eight".