447986448 has 240 divisors, whose sum is σ = 1634645376. Its totient is φ = 111144960.

The previous prime is 447986447. The next prime is 447986467. The reversal of 447986448 is 844689744.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 447986394 and 447986403.

It is not an unprimeable number, because it can be changed into a prime (447986443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 221763 + ... + 223773.

Almost surely, 2^447986448 is an apocalyptic number.

447986448 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 447986448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817322688).

447986448 is an abundant number, since it is smaller than the sum of its proper divisors (1186658928).

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

447986448 is a wasteful number, since it uses less digits than its factorization.

447986448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2053 counting only the distinct ones).

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

The square root of 447986448 is about 21165.6903501870. The cubic root of 447986448 is about 765.1647575421.

The spelling of 447986448 in words is "four hundred forty-seven million, nine hundred eighty-six thousand, four hundred forty-eight".