447910008 has 128 divisors (see below), whose sum is σ = 1399211520. Its totient is φ = 116328960.

The previous prime is 447909997. The next prime is 447910019. The reversal of 447910008 is 800019744.

It is an interprime number because it is at equal distance from previous prime (447909997) and next prime (447910019).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 144798 + ... + 147858.

It is an arithmetic number, because the mean of its divisors is an integer number (10931340).

Almost surely, 2^447910008 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 447910008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699605760).

447910008 is an abundant number, since it is smaller than the sum of its proper divisors (951301512).

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

447910008 is a wasteful number, since it uses less digits than its factorization.

447910008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3157 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 447910008 is about 21163.8845205695. The cubic root of 447910008 is about 765.1212350045.

The spelling of 447910008 in words is "four hundred forty-seven million, nine hundred ten thousand, eight".