448105320 has 288 divisors, whose sum is σ = 1648581480. Its totient is φ = 104924160.

The previous prime is 448105289. The next prime is 448105337. The reversal of 448105320 is 23501844.

It can be written as a sum of positive squares in 4 ways, for example, as 131194116 + 316911204 = 11454^2 + 17802^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2475630 + ... + 2475810.

Almost surely, 2^448105320 is an apocalyptic number.

448105320 is a gapful number since it is divisible by the number (40) 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 448105320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824290740).

448105320 is an abundant number, since it is smaller than the sum of its proper divisors (1200476160).

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

448105320 is a wasteful number, since it uses less digits than its factorization.

448105320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 448105320 is about 21168.4982934548. The cubic root of 448105320 is about 765.2324296942.

The spelling of 448105320 in words is "four hundred forty-eight million, one hundred five thousand, three hundred twenty".