448422912 has 264 divisors, whose sum is σ = 1549497120. Its totient is φ = 127733760.

The previous prime is 448422907. The next prime is 448422913. The reversal of 448422912 is 219224844.

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 (448422913) 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 23 ways as a sum of consecutive naturals, for example, 1354587 + ... + 1354917.

Almost surely, 2^448422912 is an apocalyptic number.

448422912 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 448422912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774748560).

448422912 is an abundant number, since it is smaller than the sum of its proper divisors (1101074208).

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

448422912 is a wasteful number, since it uses less digits than its factorization.

448422912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 343 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 448422912 is about 21175.9984888553. The cubic root of 448422912 is about 765.4131716566.

The spelling of 448422912 in words is "four hundred forty-eight million, four hundred twenty-two thousand, nine hundred twelve".