447844320 has 432 divisors, whose sum is σ = 1942759728. Its totient is φ = 92897280.

The previous prime is 447844297. The next prime is 447844349. The reversal of 447844320 is 23448744.

It is a happy number.

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

It is a congruent number.

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, 775872 + ... + 776448.

It is an arithmetic number, because the mean of its divisors is an integer number (4497129).

Almost surely, 2^447844320 is an apocalyptic number.

447844320 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 447844320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971379864).

447844320 is an abundant number, since it is smaller than the sum of its proper divisors (1494915408).

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

447844320 is a wasteful number, since it uses less digits than its factorization.

447844320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 605 counting only the distinct ones).

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

The square root of 447844320 is about 21162.3325746478. The cubic root of 447844320 is about 765.0838303622.

The spelling of 447844320 in words is "four hundred forty-seven million, eight hundred forty-four thousand, three hundred twenty".