447997280256 has 360 divisors, whose sum is σ = 1371108281400. Its totient is φ = 140934905856.

The previous prime is 447997280201. The next prime is 447997280261. The reversal of 447997280256 is 652082799744.

447997280256 is a `hidden beast` number, since 4 + 479 + 97 + 28 + 0 + 2 + 56 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 447997280193 and 447997280202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1703411581 + ... + 1703411843.

It is an arithmetic number, because the mean of its divisors is an integer number (3808634115).

Almost surely, 2^447997280256 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 447997280256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685554140700).

447997280256 is an abundant number, since it is smaller than the sum of its proper divisors (923111001144).

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

447997280256 is an frugal number, since it uses more digits than its factorization.

447997280256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 447997280256 in words is "four hundred forty-seven billion, nine hundred ninety-seven million, two hundred eighty thousand, two hundred fifty-six".