449030258880 has 1344 divisors, whose sum is σ = 1870873128960. Its totient is φ = 89069912064.

The previous prime is 449030258867. The next prime is 449030258881. The reversal of 449030258880 is 88852030944.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (449030258881) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 1586679219 + ... + 1586679501.

Almost surely, 2^449030258880 is an apocalyptic number.

449030258880 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 449030258880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935436564480).

449030258880 is an abundant number, since it is smaller than the sum of its proper divisors (1421842870080).

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

449030258880 is a wasteful number, since it uses less digits than its factorization.

449030258880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 449030258880 in words is "four hundred forty-nine billion, thirty million, two hundred fifty-eight thousand, eight hundred eighty".