447220960992 has 480 divisors, whose sum is σ = 1490308696800. Its totient is φ = 130592673792.

The previous prime is 447220960973. The next prime is 447220961009. The reversal of 447220960992 is 299069022744.

447220960992 is a `hidden beast` number, since 4 + 4 + 7 + 2 + 20 + 9 + 609 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 57649978 + ... + 57657734.

It is an arithmetic number, because the mean of its divisors is an integer number (3104809785).

Almost surely, 2^447220960992 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 447220960992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745154348400).

447220960992 is an abundant number, since it is smaller than the sum of its proper divisors (1043087735808).

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

447220960992 is a wasteful number, since it uses less digits than its factorization.

447220960992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 447220960992 in words is "four hundred forty-seven billion, two hundred twenty million, nine hundred sixty thousand, nine hundred ninety-two".