447004800 has 576 divisors, whose sum is σ = 1864568160. Its totient is φ = 100761600.

The previous prime is 447004799. The next prime is 447004813. The reversal of 447004800 is 8400744.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5385559 + ... + 5385641.

Almost surely, 2^447004800 is an apocalyptic number.

447004800 is a gapful number since it is divisible by the number (40) 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 447004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932284080).

447004800 is an abundant number, since it is smaller than the sum of its proper divisors (1417563360).

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

447004800 is a wasteful number, since it uses less digits than its factorization.

447004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 447004800 is about 21142.4880276660. The cubic root of 447004800 is about 764.6054610446.

The spelling of 447004800 in words is "four hundred forty-seven million, four thousand, eight hundred".