448448112 has 270 divisors, whose sum is σ = 1552881512. Its totient is φ = 118331136.

The previous prime is 448448107. The next prime is 448448113. The reversal of 448448112 is 211844844.

It is a super-2 number, since 2×448448112² = 402211418312729088, which contains 22 as substring.

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.

Its product of digits (32768) is a multiple of the sum of its prime divisors (64).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448448113) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 15463714 + ... + 15463742.

Almost surely, 2^448448112 is an apocalyptic number.

448448112 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 448448112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776440756).

448448112 is an abundant number, since it is smaller than the sum of its proper divisors (1104433400).

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

448448112 is a wasteful number, since it uses less digits than its factorization.

448448112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 64 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 448448112 is about 21176.5934937610. The cubic root of 448448112 is about 765.4275093499.

The spelling of 448448112 in words is "four hundred forty-eight million, four hundred forty-eight thousand, one hundred twelve".