447047355456 has 189 divisors, whose sum is σ = 1388178166869. Its totient is φ = 137488845312.

The previous prime is 447047355449. The next prime is 447047355473. The reversal of 447047355456 is 654553740744.

The square root of 447047355456 is 668616.

It is a perfect power (a square), and thus also a powerful number.

447047355456 is a `hidden beast` number, since 4 + 4 + 70 + 4 + 73 + 55 + 456 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66131265600 + 380916089856 = 257160^2 + 617184^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 208607121 + ... + 208609263.

Almost surely, 2^447047355456 is an apocalyptic number.

447047355456 is the 668616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447047355456

447047355456 is an abundant number, since it is smaller than the sum of its proper divisors (941130811413).

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

447047355456 is an equidigital number, since it uses as much as digits as its factorization.

447047355456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4330 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 54.

The spelling of 447047355456 in words is "four hundred forty-seven billion, forty-seven million, three hundred fifty-five thousand, four hundred fifty-six".