447888000 has 512 divisors, whose sum is σ = 1792327680. Its totient is φ = 96768000.

The previous prime is 447887963. The next prime is 447888011. The reversal of 447888000 is 888744.

It is a self number, because there is not a number n which added to its sum of digits gives 447888000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10415979 + ... + 10416021.

It is an arithmetic number, because the mean of its divisors is an integer number (3500640).

Almost surely, 2^447888000 is an apocalyptic number.

447888000 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 447888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896163840).

447888000 is an abundant number, since it is smaller than the sum of its proper divisors (1344439680).

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

447888000 is a wasteful number, since it uses less digits than its factorization.

447888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 447888000 is about 21163.3645718255. The cubic root of 447888000 is about 765.1087034218.

The spelling of 447888000 in words is "four hundred forty-seven million, eight hundred eighty-eight thousand".