447530880 has 256 divisors, whose sum is σ = 1507184640. Its totient is φ = 112803840.

The previous prime is 447530879. The next prime is 447530891. The reversal of 447530880 is 88035744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4344909 + ... + 4345011.

It is an arithmetic number, because the mean of its divisors is an integer number (5887440).

Almost surely, 2^447530880 is an apocalyptic number.

447530880 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 447530880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753592320).

447530880 is an abundant number, since it is smaller than the sum of its proper divisors (1059653760).

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

447530880 is a wasteful number, since it uses less digits than its factorization.

447530880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 447530880 is about 21154.9256675603. The cubic root of 447530880 is about 764.9052982006.

The spelling of 447530880 in words is "four hundred forty-seven million, five hundred thirty thousand, eight hundred eighty".