449712384000 has 384 divisors, whose sum is σ = 1632333306240. Its totient is φ = 109019136000.

The previous prime is 449712383993. The next prime is 449712384019. The reversal of 449712384000 is 483217944.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8421384 + ... + 8474616.

It is an arithmetic number, because the mean of its divisors is an integer number (4250867985).

Almost surely, 2^449712384000 is an apocalyptic number.

449712384000 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 449712384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816166653120).

449712384000 is an abundant number, since it is smaller than the sum of its proper divisors (1182620922240).

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

449712384000 is a wasteful number, since it uses less digits than its factorization.

449712384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53284 (or 53254 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 449712384000 in words is "four hundred forty-nine billion, seven hundred twelve million, three hundred eighty-four thousand".