448208900 has 36 divisors (see below), whose sum is σ = 973539252. Its totient is φ = 179112960.

The previous prime is 448208869. The next prime is 448208911. The reversal of 448208900 is 9802844.

It can be written as a sum of positive squares in 6 ways, for example, as 218625796 + 229583104 = 14786^2 + 15152^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 186104 + ... + 188496.

It is an arithmetic number, because the mean of its divisors is an integer number (27042757).

Almost surely, 2^448208900 is an apocalyptic number.

It is an amenable number.

448208900 is an abundant number, since it is smaller than the sum of its proper divisors (525330352).

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

448208900 is a wasteful number, since it uses less digits than its factorization.

448208900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4280 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 448208900 is about 21170.9447120340. The cubic root of 448208900 is about 765.2913865697.

The spelling of 448208900 in words is "four hundred forty-eight million, two hundred eight thousand, nine hundred".