447286752 has 192 divisors, whose sum is σ = 1498694400. Its totient is φ = 128355840.

The previous prime is 447286739. The next prime is 447286759. The reversal of 447286752 is 257682744.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 447286698 and 447286707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447286759) by changing a digit.

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, 179338 + ... + 181814.

It is an arithmetic number, because the mean of its divisors is an integer number (7805700).

Almost surely, 2^447286752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447286752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749347200).

447286752 is an abundant number, since it is smaller than the sum of its proper divisors (1051407648).

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

447286752 is a wasteful number, since it uses less digits than its factorization.

447286752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2512 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 447286752 is about 21149.1548767321. The cubic root of 447286752 is about 764.7661876767.

The spelling of 447286752 in words is "four hundred forty-seven million, two hundred eighty-six thousand, seven hundred fifty-two".