447982848 has 108 divisors (see below), whose sum is σ = 1302665728. Its totient is φ = 148055040.

The previous prime is 447982831. The next prime is 447982849. The reversal of 447982848 is 848289744.

It is a super-2 number, since 2×447982848² = 401377264204382208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 447982794 and 447982803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447982849) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 291843 + ... + 293373.

Almost surely, 2^447982848 is an apocalyptic number.

447982848 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 447982848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651332864).

447982848 is an abundant number, since it is smaller than the sum of its proper divisors (854682880).

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

447982848 is a wasteful number, since it uses less digits than its factorization.

447982848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1680 (or 1663 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 447982848 is about 21165.6053067235. The cubic root of 447982848 is about 765.1627079261.

The spelling of 447982848 in words is "four hundred forty-seven million, nine hundred eighty-two thousand, eight hundred forty-eight".