447705216 has 192 divisors, whose sum is σ = 1498910400. Its totient is φ = 125614080.

The previous prime is 447705211. The next prime is 447705229. The reversal of 447705216 is 612507744.

It is a tau number, because it is divible by the number of its divisors (192).

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 (447705211) by changing a digit.

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, 475306 + ... + 476246.

It is an arithmetic number, because the mean of its divisors is an integer number (7806825).

Almost surely, 2^447705216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749455200).

447705216 is an abundant number, since it is smaller than the sum of its proper divisors (1051205184).

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

447705216 is a wasteful number, since it uses less digits than its factorization.

447705216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1012 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 447705216 is about 21159.0457251739. The cubic root of 447705216 is about 765.0046084562.

The spelling of 447705216 in words is "four hundred forty-seven million, seven hundred five thousand, two hundred sixteen".