447048576000 has 528 divisors, whose sum is σ = 1734951193248. Its totient is φ = 110039040000.

The previous prime is 447048575971. The next prime is 447048576067. The reversal of 447048576000 is 675840744.

447048576000 is a `hidden beast` number, since 4 + 4 + 70 + 4 + 8 + 576 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14961075 + ... + 14990925.

Almost surely, 2^447048576000 is an apocalyptic number.

447048576000 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 447048576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867475596624).

447048576000 is an abundant number, since it is smaller than the sum of its proper divisors (1287902617248).

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

447048576000 is a wasteful number, since it uses less digits than its factorization.

447048576000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29905 (or 29874 counting only the distinct ones).

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

The spelling of 447048576000 in words is "four hundred forty-seven billion, forty-eight million, five hundred seventy-six thousand".