447394304 has 120 divisors (see below), whose sum is σ = 1102077900. Its totient is φ = 180289536.

The previous prime is 447394303. The next prime is 447394327. The reversal of 447394304 is 403493744.

It can be written as a sum of positive squares in 2 ways, for example, as 384160000 + 63234304 = 19600^2 + 7952^2 .

It is not an unprimeable number, because it can be changed into a prime (447394303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 425972 + ... + 427020.

Almost surely, 2^447394304 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 447394304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551038950).

447394304 is an abundant number, since it is smaller than the sum of its proper divisors (654683596).

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

447394304 is a wasteful number, since it uses less digits than its factorization.

447394304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The square root of 447394304 is about 21151.6974259751. The cubic root of 447394304 is about 764.8274798574.

The spelling of 447394304 in words is "four hundred forty-seven million, three hundred ninety-four thousand, three hundred four".