448224568 has 64 divisors (see below), whose sum is σ = 938044800. Its totient is φ = 199082880.

The previous prime is 448224541. The next prime is 448224589. The reversal of 448224568 is 865422844.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

Its product of digits (491520) is a multiple of the sum of its prime divisors (768).

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 15 ways as a sum of consecutive naturals, for example, 795855 + ... + 796417.

It is an arithmetic number, because the mean of its divisors is an integer number (14656950).

Almost surely, 2^448224568 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 448224568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469022400).

448224568 is an abundant number, since it is smaller than the sum of its proper divisors (489820232).

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

448224568 is a wasteful number, since it uses less digits than its factorization.

448224568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its digits is 491520, while the sum is 43.

The square root of 448224568 is about 21171.3147442477. The cubic root of 448224568 is about 765.3003038742.

The spelling of 448224568 in words is "four hundred forty-eight million, two hundred twenty-four thousand, five hundred sixty-eight".