449448517680 has 160 divisors (see below), whose sum is σ = 1439162173440. Its totient is φ = 115911966720.

The previous prime is 449448517643. The next prime is 449448517699. The reversal of 449448517680 is 86715844944.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 12026704 + ... + 12064016.

It is an arithmetic number, because the mean of its divisors is an integer number (8994763584).

Almost surely, 2^449448517680 is an apocalyptic number.

449448517680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449448517680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719581086720).

449448517680 is an abundant number, since it is smaller than the sum of its proper divisors (989713655760).

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

449448517680 is a wasteful number, since it uses less digits than its factorization.

449448517680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38979 (or 38973 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 449448517680 in words is "four hundred forty-nine billion, four hundred forty-eight million, five hundred seventeen thousand, six hundred eighty".