447663312 has 180 divisors, whose sum is σ = 1377757056. Its totient is φ = 135521280.

The previous prime is 447663311. The next prime is 447663319. The reversal of 447663312 is 213366744.

It is a happy number.

447663312 is a `hidden beast` number, since 4 + 4 + 7 + 6 + 633 + 12 = 666.

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 (447663311) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1289923 + ... + 1290269.

Almost surely, 2^447663312 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 447663312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688878528).

447663312 is an abundant number, since it is smaller than the sum of its proper divisors (930093744).

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

447663312 is a wasteful number, since it uses less digits than its factorization.

447663312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 400 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 447663312 is about 21158.0554872134. The cubic root of 447663312 is about 764.9807402559.

The spelling of 447663312 in words is "four hundred forty-seven million, six hundred sixty-three thousand, three hundred twelve".