448673904 has 300 divisors, whose sum is σ = 1577760624. Its totient is φ = 120559104.

The previous prime is 448673879. The next prime is 448673909. The reversal of 448673904 is 409376844.

It is a self number, because there is not a number n which added to its sum of digits gives 448673904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448673909) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3274924 + ... + 3275060.

Almost surely, 2^448673904 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 448673904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788880312).

448673904 is an abundant number, since it is smaller than the sum of its proper divisors (1129086720).

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

448673904 is a wasteful number, since it uses less digits than its factorization.

448673904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 448673904 is about 21181.9239919324. The cubic root of 448673904 is about 765.5559511218. Note that the first 3 decimals are identical.

The spelling of 448673904 in words is "four hundred forty-eight million, six hundred seventy-three thousand, nine hundred four".