449495493120 has 960 divisors, whose sum is σ = 1712519677440. Its totient is φ = 108513460224.

The previous prime is 449495493059. The next prime is 449495493163. The reversal of 449495493120 is 21394594944.

449495493120 is a `hidden beast` number, since 4 + 4 + 9 + 49 + 549 + 31 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1224783177 + ... + 1224783543.

It is an arithmetic number, because the mean of its divisors is an integer number (1783874664).

Almost surely, 2^449495493120 is an apocalyptic number.

449495493120 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 449495493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856259838720).

449495493120 is an abundant number, since it is smaller than the sum of its proper divisors (1263024184320).

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

449495493120 is a wasteful number, since it uses less digits than its factorization.

449495493120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 449495493120 in words is "four hundred forty-nine billion, four hundred ninety-five million, four hundred ninety-three thousand, one hundred twenty".