447903216 has 160 divisors (see below), whose sum is σ = 1382054400. Its totient is φ = 138378240.

The previous prime is 447903193. The next prime is 447903217. The reversal of 447903216 is 612309744.

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 (447903217) 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, 520995 + ... + 521853.

It is an arithmetic number, because the mean of its divisors is an integer number (8637840).

Almost surely, 2^447903216 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 447903216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691027200).

447903216 is an abundant number, since it is smaller than the sum of its proper divisors (934151184).

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

447903216 is a wasteful number, since it uses less digits than its factorization.

447903216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 952 counting only the distinct ones).

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

The square root of 447903216 is about 21163.7240579252. The cubic root of 447903216 is about 765.1173676133.

The spelling of 447903216 in words is "four hundred forty-seven million, nine hundred three thousand, two hundred sixteen".