447471360 has 432 divisors, whose sum is σ = 1836656640. Its totient is φ = 98426880.

The previous prime is 447471341. The next prime is 447471389. The reversal of 447471360 is 63174744.

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 47 ways as a sum of consecutive naturals, for example, 2499751 + ... + 2499929.

It is an arithmetic number, because the mean of its divisors is an integer number (4251520).

Almost surely, 2^447471360 is an apocalyptic number.

447471360 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 447471360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918328320).

447471360 is an abundant number, since it is smaller than the sum of its proper divisors (1389185280).

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

447471360 is a wasteful number, since it uses less digits than its factorization.

447471360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 447471360 is about 21153.5188562092. The cubic root of 447471360 is about 764.8713868112.

The spelling of 447471360 in words is "four hundred forty-seven million, four hundred seventy-one thousand, three hundred sixty".