447008 has 24 divisors (see below), whose sum is σ = 898380. Its totient is φ = 218880.

The previous prime is 447001. The next prime is 447011. The reversal of 447008 is 800744.

It can be written as a sum of positive squares in 2 ways, for example, as 446224 + 784 = 668^2 + 28^2 .

447008 is a Rhonda number in base 6.

It is not an unprimeable number, because it can be changed into a prime (447001) by changing a digit.

447008 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1838 + ... + 2066.

2⁴⁴⁷⁰⁰⁸ 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 447008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449190).

447008 is an abundant number, since it is smaller than the sum of its proper divisors (451372).

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

447008 is a wasteful number, since it uses less digits than its factorization.

447008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 447008 is about 668.5865688151. The cubic root of 447008 is about 76.4607285583.

Subtracting from 447008 its sum of digits (23), we obtain a triangular number (446985 = T₉₄₅).

The spelling of 447008 in words is "four hundred forty-seven thousand, eight".