447968448 has 112 divisors (see below), whose sum is σ = 1322283360. Its totient is φ = 148718592.

The previous prime is 447968441. The next prime is 447968467. The reversal of 447968448 is 844869744.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 447968394 and 447968403.

It is not an unprimeable number, because it can be changed into a prime (447968441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685690 + ... + 686342.

Almost surely, 2^447968448 is an apocalyptic number.

447968448 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 447968448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661141680).

447968448 is an abundant number, since it is smaller than the sum of its proper divisors (874314912).

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

447968448 is a wasteful number, since it uses less digits than its factorization.

447968448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1055 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 447968448 is about 21165.2651294521. The cubic root of 447968448 is about 765.1545093525.

It can be divided in two parts, 4479 and 68448, that added together give a palindrome (72927).

The spelling of 447968448 in words is "four hundred forty-seven million, nine hundred sixty-eight thousand, four hundred forty-eight".