447842304 has 384 divisors, whose sum is σ = 1651104000. Its totient is φ = 116785152.

The previous prime is 447842279. The next prime is 447842323. The reversal of 447842304 is 403248744.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5031892 + ... + 5031980.

It is an arithmetic number, because the mean of its divisors is an integer number (4299750).

Almost surely, 2^447842304 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 447842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825552000).

447842304 is an abundant number, since it is smaller than the sum of its proper divisors (1203261696).

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

447842304 is a wasteful number, since it uses less digits than its factorization.

447842304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 447842304 is about 21162.2849427939. The cubic root of 447842304 is about 765.0826823358.

The spelling of 447842304 in words is "four hundred forty-seven million, eight hundred forty-two thousand, three hundred four".