447104448 has 294 divisors, whose sum is σ = 1562456616. Its totient is φ = 124291584.

The previous prime is 447104431. The next prime is 447104459. The reversal of 447104448 is 844401744.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 12083886 + ... + 12083922.

Almost surely, 2^447104448 is an apocalyptic number.

447104448 is a gapful number since it is divisible by the number (48) 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 447104448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781228308).

447104448 is an abundant number, since it is smaller than the sum of its proper divisors (1115352168).

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

447104448 is an frugal number, since it uses more digits than its factorization.

447104448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The square root of 447104448 is about 21144.8444780282. The cubic root of 447104448 is about 764.6622730699.

The spelling of 447104448 in words is "four hundred forty-seven million, one hundred four thousand, four hundred forty-eight".