448332192 has 384 divisors, whose sum is σ = 1706987520. Its totient is φ = 111006720.

The previous prime is 448332191. The next prime is 448332193. The reversal of 448332192 is 291233844.

It is an interprime number because it is at equal distance from previous prime (448332191) and next prime (448332193).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (448332191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1529998 + ... + 1530290.

It is an arithmetic number, because the mean of its divisors is an integer number (4445280).

Almost surely, 2^448332192 is an apocalyptic number.

448332192 is a gapful number since it is divisible by the number (42) 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 448332192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853493760).

448332192 is an abundant number, since it is smaller than the sum of its proper divisors (1258655328).

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

448332192 is a wasteful number, since it uses less digits than its factorization.

448332192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 339 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 448332192 is about 21173.8563327515. The cubic root of 448332192 is about 765.3615515124.

The spelling of 448332192 in words is "four hundred forty-eight million, three hundred thirty-two thousand, one hundred ninety-two".