448590368 has 48 divisors (see below), whose sum is σ = 911635200. Its totient is φ = 217126656.

The previous prime is 448590343. The next prime is 448590379. The reversal of 448590368 is 863095844.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263183 + ... + 264881.

It is an arithmetic number, because the mean of its divisors is an integer number (18992400).

Almost surely, 2^448590368 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 448590368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455817600).

448590368 is an abundant number, since it is smaller than the sum of its proper divisors (463044832).

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

448590368 is a wasteful number, since it uses less digits than its factorization.

448590368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1969 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The square root of 448590368 is about 21179.9520301629. The cubic root of 448590368 is about 765.5084366941.

The spelling of 448590368 in words is "four hundred forty-eight million, five hundred ninety thousand, three hundred sixty-eight".