447008271336 has 576 divisors, whose sum is σ = 1441683210240. Its totient is φ = 123941664000.

The previous prime is 447008271319. The next prime is 447008271373. The reversal of 447008271336 is 633172800744.

447008271336 is a `hidden beast` number, since 4 + 47 + 0 + 0 + 8 + 271 + 336 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 447008271291 and 447008271300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1649476881 + ... + 1649477151.

It is an arithmetic number, because the mean of its divisors is an integer number (2502922240).

Almost surely, 2^447008271336 is an apocalyptic number.

447008271336 is a gapful number since it is divisible by the number (46) 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 447008271336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720841605120).

447008271336 is an abundant number, since it is smaller than the sum of its proper divisors (994674938904).

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

447008271336 is a wasteful number, since it uses less digits than its factorization.

447008271336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 447008271336 in words is "four hundred forty-seven billion, eight million, two hundred seventy-one thousand, three hundred thirty-six".