449518080 has 320 divisors, whose sum is σ = 1665214848. Its totient is φ = 102236160.

The previous prime is 449518057. The next prime is 449518117. The reversal of 449518080 is 80815944.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 1436004 + ... + 1436316.

Almost surely, 2^449518080 is an apocalyptic number.

449518080 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 449518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832607424).

449518080 is an abundant number, since it is smaller than the sum of its proper divisors (1215696768).

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

449518080 is a wasteful number, since it uses less digits than its factorization.

449518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 449518080 is about 21201.8414294608. The cubic root of 449518080 is about 766.0357792439.

The spelling of 449518080 in words is "four hundred forty-nine million, five hundred eighteen thousand, eighty".