447982416 has 120 divisors (see below), whose sum is σ = 1438032960. Its totient is φ = 127531008.

The previous prime is 447982411. The next prime is 447982417. The reversal of 447982416 is 614289744.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447982411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 355195 + ... + 356453.

It is an arithmetic number, because the mean of its divisors is an integer number (11983608).

Almost surely, 2^447982416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447982416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719016480).

447982416 is an abundant number, since it is smaller than the sum of its proper divisors (990050544).

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

447982416 is a wasteful number, since it uses less digits than its factorization.

447982416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1624 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 447982416 is about 21165.5951014849. The cubic root of 447982416 is about 765.1624619715.

The spelling of 447982416 in words is "four hundred forty-seven million, nine hundred eighty-two thousand, four hundred sixteen".