449677728 has 72 divisors (see below), whose sum is σ = 1280916000. Its totient is φ = 149641344.

The previous prime is 449677721. The next prime is 449677729. The reversal of 449677728 is 827776944.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (449677721) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 263823 + ... + 265521.

It is an arithmetic number, because the mean of its divisors is an integer number (17790500).

Almost surely, 2^449677728 is an apocalyptic number.

449677728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

449677728 is an abundant number, since it is smaller than the sum of its proper divisors (831238272).

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

449677728 is a wasteful number, since it uses less digits than its factorization.

449677728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634 (or 2623 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 449677728 is about 21205.6060512309. The cubic root of 449677728 is about 766.1264553186.

The spelling of 449677728 in words is "four hundred forty-nine million, six hundred seventy-seven thousand, seven hundred twenty-eight".