447208804224 has 384 divisors, whose sum is σ = 1607529530880. Its totient is φ = 116182978560.

The previous prime is 447208804213. The next prime is 447208804249. The reversal of 447208804224 is 422408802744.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 447208804224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6991909 + ... + 7055579.

It is an arithmetic number, because the mean of its divisors is an integer number (4186274820).

Almost surely, 2^447208804224 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 447208804224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803764765440).

447208804224 is an abundant number, since it is smaller than the sum of its proper divisors (1160320726656).

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

447208804224 is a wasteful number, since it uses less digits than its factorization.

447208804224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63778 (or 63763 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 447208804224 in words is "four hundred forty-seven billion, two hundred eight million, eight hundred four thousand, two hundred twenty-four".