448183296 has 132 divisors (see below), whose sum is σ = 1412086104. Its totient is φ = 135782400.

The previous prime is 448183283. The next prime is 448183319. The reversal of 448183296 is 692381844.

It is a happy number.

448183296 is a `hidden beast` number, since 4 + 481 + 83 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 99166 + ... + 103586.

It is an arithmetic number, because the mean of its divisors is an integer number (10697622).

Almost surely, 2^448183296 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 448183296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706043052).

448183296 is an abundant number, since it is smaller than the sum of its proper divisors (963902808).

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

448183296 is a wasteful number, since it uses less digits than its factorization.

448183296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458 (or 4437 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 448183296 is about 21170.3400067169. The cubic root of 448183296 is about 765.2768138308.

The spelling of 448183296 in words is "four hundred forty-eight million, one hundred eighty-three thousand, two hundred ninety-six".