447079296960 has 224 divisors, whose sum is σ = 1577859379200. Its totient is φ = 119171036160.

The previous prime is 447079296959. The next prime is 447079296971. The reversal of 447079296960 is 69692970744.

447079296960 is a `hidden beast` number, since 4 + 470 + 79 + 2 + 9 + 6 + 96 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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, 23482645 + ... + 23501675.

Almost surely, 2^447079296960 is an apocalyptic number.

447079296960 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 447079296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788929689600).

447079296960 is an abundant number, since it is smaller than the sum of its proper divisors (1130780082240).

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

447079296960 is a wasteful number, since it uses less digits than its factorization.

447079296960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21776 (or 21760 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 447079296960 in words is "four hundred forty-seven billion, seventy-nine million, two hundred ninety-six thousand, nine hundred sixty".