449805648 has 40 divisors (see below), whose sum is σ = 1166889600. Its totient is φ = 149304064.

The previous prime is 449805617. The next prime is 449805673. The reversal of 449805648 is 846508944.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 449805597 and 449805606.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8133 + ... + 31076.

It is an arithmetic number, because the mean of its divisors is an integer number (29172240).

Almost surely, 2^449805648 is an apocalyptic number.

449805648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

449805648 is an abundant number, since it is smaller than the sum of its proper divisors (717083952).

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

449805648 is a wasteful number, since it uses less digits than its factorization.

449805648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39459 (or 39453 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The square root of 449805648 is about 21208.6220203011. The cubic root of 449805648 is about 766.1990951957.

The spelling of 449805648 in words is "four hundred forty-nine million, eight hundred five thousand, six hundred forty-eight".