448142112 has 192 divisors, whose sum is σ = 1451157120. Its totient is φ = 133401600.

The previous prime is 448142089. The next prime is 448142119. The reversal of 448142112 is 211241844.

448142112 is a `hidden beast` number, since 448 + 1 + 4 + 211 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (448142119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579358 + ... + 580130.

It is an arithmetic number, because the mean of its divisors is an integer number (7558110).

Almost surely, 2^448142112 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 448142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725578560).

448142112 is an abundant number, since it is smaller than the sum of its proper divisors (1003015008).

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

448142112 is a wasteful number, since it uses less digits than its factorization.

448142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 850 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 448142112 is about 21169.3673027797. The cubic root of 448142112 is about 765.2533724353.

Adding to 448142112 its reverse (211241844), we get a palindrome (659383956).

The spelling of 448142112 in words is "four hundred forty-eight million, one hundred forty-two thousand, one hundred twelve".