448068336 has 160 divisors (see below), whose sum is σ = 1304916480. Its totient is φ = 131788800.

The previous prime is 448068301. The next prime is 448068347. The reversal of 448068336 is 633860844.

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 31 ways as a sum of consecutive naturals, for example, 859756 + ... + 860276.

It is an arithmetic number, because the mean of its divisors is an integer number (8155728).

Almost surely, 2^448068336 is an apocalyptic number.

448068336 is a gapful number since it is divisible by the number (46) 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 448068336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652458240).

448068336 is an abundant number, since it is smaller than the sum of its proper divisors (856848144).

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

448068336 is a wasteful number, since it uses less digits than its factorization.

448068336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 448068336 is about 21167.6247132266. The cubic root of 448068336 is about 765.2113765075.

The spelling of 448068336 in words is "four hundred forty-eight million, sixty-eight thousand, three hundred thirty-six".