447966663200 has 864 divisors, whose sum is σ = 1395270696960. Its totient is φ = 139549132800.

The previous prime is 447966663167. The next prime is 447966663223. The reversal of 447966663200 is 2366669744.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2345375105 + ... + 2345375295.

It is an arithmetic number, because the mean of its divisors is an integer number (1614896640).

Almost surely, 2^447966663200 is an apocalyptic number.

447966663200 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 447966663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697635348480).

447966663200 is an abundant number, since it is smaller than the sum of its proper divisors (947304033760).

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

447966663200 is a wasteful number, since it uses less digits than its factorization.

447966663200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 53.

The spelling of 447966663200 in words is "four hundred forty-seven billion, nine hundred sixty-six million, six hundred sixty-three thousand, two hundred".