447868344 has 256 divisors, whose sum is σ = 1478476800. Its totient is φ = 109670400.

The previous prime is 447868331. The next prime is 447868363. The reversal of 447868344 is 443868744.

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 = 447868293 and 447868302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3269044 + ... + 3269180.

It is an arithmetic number, because the mean of its divisors is an integer number (5775300).

Almost surely, 2^447868344 is an apocalyptic number.

447868344 is a gapful number since it is divisible by the number (44) 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 447868344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739238400).

447868344 is an abundant number, since it is smaller than the sum of its proper divisors (1030608456).

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

447868344 is a wasteful number, since it uses less digits than its factorization.

447868344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 48.

The square root of 447868344 is about 21162.9001793232. The cubic root of 447868344 is about 765.0975107451.

The spelling of 447868344 in words is "four hundred forty-seven million, eight hundred sixty-eight thousand, three hundred forty-four".