449820317856 has 768 divisors, whose sum is σ = 1539269222400. Its totient is φ = 111878848512.

The previous prime is 449820317851. The next prime is 449820317861. The reversal of 449820317856 is 658713028944.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (449820317851) and next prime (449820317861).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 449820317796 and 449820317805.

It is not an unprimeable number, because it can be changed into a prime (449820317851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1964280750 + ... + 1964280978.

It is an arithmetic number, because the mean of its divisors is an integer number (2004256800).

It is a 2-persistent number, because it is pandigital, and so is 2⋅449820317856 = 899640635712, but 3⋅449820317856 = 1349460953568 is not.

Almost surely, 2^449820317856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449820317856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769634611200).

449820317856 is an abundant number, since it is smaller than the sum of its proper divisors (1089448904544).

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

449820317856 is a wasteful number, since it uses less digits than its factorization.

449820317856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 449820317856 in words is "four hundred forty-nine billion, eight hundred twenty million, three hundred seventeen thousand, eight hundred fifty-six".