449583616000 has 208 divisors, whose sum is σ = 1130757458688. Its totient is φ = 178434048000.

The previous prime is 449583615991. The next prime is 449583616007. The reversal of 449583616000 is 616385944.

It is not an unprimeable number, because it can be changed into a prime (449583616007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67068649 + ... + 67075351.

It is an arithmetic number, because the mean of its divisors is an integer number (5436333936).

Almost surely, 2^449583616000 is an apocalyptic number.

449583616000 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 449583616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565378729344).

449583616000 is an abundant number, since it is smaller than the sum of its proper divisors (681173842688).

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

449583616000 is an equidigital number, since it uses as much as digits as its factorization.

449583616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873 (or 6841 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 449583616000 in words is "four hundred forty-nine billion, five hundred eighty-three million, six hundred sixteen thousand".