449108868384 has 384 divisors, whose sum is σ = 1465265894400. Its totient is φ = 132651509760.

The previous prime is 449108868347. The next prime is 449108868389. The reversal of 449108868384 is 483868801944.

449108868384 is a `hidden beast` number, since 4 + 491 + 0 + 8 + 8 + 68 + 3 + 84 = 666.

It is a super-2 number, since 2×449108868384² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (449108868389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279122172 + ... + 279123780.

It is an arithmetic number, because the mean of its divisors is an integer number (3815796600).

Almost surely, 2^449108868384 is an apocalyptic number.

449108868384 is a gapful number since it is divisible by the number (44) 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 449108868384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732632947200).

449108868384 is an abundant number, since it is smaller than the sum of its proper divisors (1016157026016).

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

449108868384 is a wasteful number, since it uses less digits than its factorization.

449108868384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 449108868384 in words is "four hundred forty-nine billion, one hundred eight million, eight hundred sixty-eight thousand, three hundred eighty-four".