448426368 has 192 divisors, whose sum is σ = 1442422800. Its totient is φ = 137852928.

The previous prime is 448426351. The next prime is 448426369. The reversal of 448426368 is 863624844.

448426368 is a `hidden beast` number, since 4 + 4 + 8 + 4 + 2 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448426369) 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 23 ways as a sum of consecutive naturals, for example, 403798 + ... + 404906.

Almost surely, 2^448426368 is an apocalyptic number.

448426368 is a gapful number since it is divisible by the number (48) 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 448426368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721211400).

448426368 is an abundant number, since it is smaller than the sum of its proper divisors (993996432).

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

448426368 is a wasteful number, since it uses less digits than its factorization.

448426368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1127 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 448426368 is about 21176.0800905172. The cubic root of 448426368 is about 765.4151380006.

The spelling of 448426368 in words is "four hundred forty-eight million, four hundred twenty-six thousand, three hundred sixty-eight".