447088320 has 336 divisors, whose sum is σ = 1789102848. Its totient is φ = 100362240.

The previous prime is 447088309. The next prime is 447088391. The reversal of 447088320 is 23880744.

It is a tau number, because it is divible by the number of its divisors (336).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1350555 + ... + 1350885.

Almost surely, 2^447088320 is an apocalyptic number.

447088320 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 447088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894551424).

447088320 is an abundant number, since it is smaller than the sum of its proper divisors (1342014528).

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

447088320 is a wasteful number, since it uses less digits than its factorization.

447088320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 447088320 is about 21144.4631050306. The cubic root of 447088320 is about 764.6530786326.

The spelling of 447088320 in words is "four hundred forty-seven million, eighty-eight thousand, three hundred twenty".