448084480844 has 192 divisors, whose sum is σ = 1064849974272. Its totient is φ = 159318835200.

The previous prime is 448084480807. The next prime is 448084480853.

448084480844 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 448084480844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 222152924 + ... + 222154940.

It is an arithmetic number, because the mean of its divisors is an integer number (5546093616).

Almost surely, 2^448084480844 is an apocalyptic number.

448084480844 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 448084480844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532424987136).

448084480844 is an abundant number, since it is smaller than the sum of its proper divisors (616765493428).

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

448084480844 is a wasteful number, since it uses less digits than its factorization.

448084480844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 16777216, while the sum is 56.

The spelling of 448084480844 in words is "four hundred forty-eight billion, eighty-four million, four hundred eighty thousand, eight hundred forty-four".