448346304 has 336 divisors, whose sum is σ = 1612855296. Its totient is φ = 116121600.

The previous prime is 448346299. The next prime is 448346317. The reversal of 448346304 is 403643844.

448346304 is a `hidden beast` number, since 4 + 4 + 8 + 346 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2124759 + ... + 2124969.

Almost surely, 2^448346304 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 448346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806427648).

448346304 is an abundant number, since it is smaller than the sum of its proper divisors (1164508992).

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

448346304 is a wasteful number, since it uses less digits than its factorization.

448346304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 448346304 is about 21174.1895712681. The cubic root of 448346304 is about 765.3695817699.

The spelling of 448346304 in words is "four hundred forty-eight million, three hundred forty-six thousand, three hundred four".