447984489744 has 240 divisors, whose sum is σ = 1406341220544. Its totient is φ = 131927270400.

The previous prime is 447984489683. The next prime is 447984489793.

447984489744 is a `hidden beast` number, since 4 + 4 + 7 + 98 + 448 + 97 + 4 + 4 = 666.

447984489744 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×447984489744³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 55146067 + ... + 55154189.

Almost surely, 2^447984489744 is an apocalyptic number.

447984489744 is a gapful number since it is divisible by the number (44) 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 447984489744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703170610272).

447984489744 is an abundant number, since it is smaller than the sum of its proper divisors (958356730800).

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

447984489744 is a wasteful number, since it uses less digits than its factorization.

447984489744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9126 (or 9117 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 72.

The spelling of 447984489744 in words is "four hundred forty-seven billion, nine hundred eighty-four million, four hundred eighty-nine thousand, seven hundred forty-four".