447974601984 has 972 divisors, whose sum is σ = 1694416272276. Its totient is φ = 112814456832.

The previous prime is 447974601979. The next prime is 447974602039. The reversal of 447974601984 is 489106479744.

447974601984 is a `hidden beast` number, since 4 + 4 + 7 + 97 + 460 + 1 + 9 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 292637721600 + 155336880384 = 540960^2 + 394128^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 776385504 + ... + 776386080.

Almost surely, 2^447974601984 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 447974601984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847208136138).

447974601984 is an abundant number, since it is smaller than the sum of its proper divisors (1246441670292).

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

447974601984 is a wasteful number, since it uses less digits than its factorization.

447974601984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 447974601984 in words is "four hundred forty-seven billion, nine hundred seventy-four million, six hundred one thousand, nine hundred eighty-four".