447087168 has 224 divisors, whose sum is σ = 1469867520. Its totient is φ = 132088320.

The previous prime is 447087167. The next prime is 447087197. The reversal of 447087168 is 861780744.

It is not an unprimeable number, because it can be changed into a prime (447087163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817071 + ... + 817617.

Almost surely, 2^447087168 is an apocalyptic number.

447087168 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 447087168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734933760).

447087168 is an abundant number, since it is smaller than the sum of its proper divisors (1022780352).

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

447087168 is a wasteful number, since it uses less digits than its factorization.

447087168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 447087168 is about 21144.4358638390. The cubic root of 447087168 is about 764.6524218786.

The spelling of 447087168 in words is "four hundred forty-seven million, eighty-seven thousand, one hundred sixty-eight".