447923091456 has 384 divisors, whose sum is σ = 1353716582400. Its totient is φ = 146313216000.

The previous prime is 447923091373. The next prime is 447923091461. The reversal of 447923091456 is 654190329744.

447923091456 is a `hidden beast` number, since 4 + 4 + 79 + 2 + 30 + 91 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063950126 + ... + 1063950546.

It is an arithmetic number, because the mean of its divisors is an integer number (3525303600).

Almost surely, 2^447923091456 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 447923091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676858291200).

447923091456 is an abundant number, since it is smaller than the sum of its proper divisors (905793490944).

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

447923091456 is a wasteful number, since it uses less digits than its factorization.

447923091456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 447923091456 in words is "four hundred forty-seven billion, nine hundred twenty-three million, ninety-one thousand, four hundred fifty-six".