447211008 has 240 divisors, whose sum is σ = 1378627536. Its totient is φ = 139345920.

The previous prime is 447211007. The next prime is 447211013. The reversal of 447211008 is 800112744.

447211008 is a `hidden beast` number, since 447 + 211 + 0 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447211007) 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, 7331298 + ... + 7331358.

Almost surely, 2^447211008 is an apocalyptic number.

447211008 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 447211008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689313768).

447211008 is an abundant number, since it is smaller than the sum of its proper divisors (931416528).

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

447211008 is a wasteful number, since it uses less digits than its factorization.

447211008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 447211008 is about 21147.3640910635. The cubic root of 447211008 is about 764.7230164747.

The spelling of 447211008 in words is "four hundred forty-seven million, two hundred eleven thousand, eight".