447983618928 has 240 divisors, whose sum is σ = 1267873913376. Its totient is φ = 135815823360.

The previous prime is 447983618923. The next prime is 447983618969. The reversal of 447983618928 is 829816389744.

447983618928 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447983618923) 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, 146350518 + ... + 146353578.

Almost surely, 2^447983618928 is an apocalyptic number.

447983618928 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 447983618928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633936956688).

447983618928 is an abundant number, since it is smaller than the sum of its proper divisors (819890294448).

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

447983618928 is a wasteful number, since it uses less digits than its factorization.

447983618928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 3223 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 69.

The spelling of 447983618928 in words is "four hundred forty-seven billion, nine hundred eighty-three million, six hundred eighteen thousand, nine hundred twenty-eight".