448396104384 has 336 divisors, whose sum is σ = 1367499684096. Its totient is φ = 140225126400.

The previous prime is 448396104379. The next prime is 448396104389. The reversal of 448396104384 is 483401693844.

448396104384 is a `hidden beast` number, since 44 + 83 + 96 + 1 + 0 + 438 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (448396104379) and next prime (448396104389).

It is a self number, because there is not a number n which added to its sum of digits gives 448396104384.

It is not an unprimeable number, because it can be changed into a prime (448396104389) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209431954 + ... + 209434094.

It is an arithmetic number, because the mean of its divisors is an integer number (4069939536).

Almost surely, 2^448396104384 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 448396104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683749842048).

448396104384 is an abundant number, since it is smaller than the sum of its proper divisors (919103579712).

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

448396104384 is a wasteful number, since it uses less digits than its factorization.

448396104384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 448396104384 in words is "four hundred forty-eight billion, three hundred ninety-six million, one hundred four thousand, three hundred eighty-four".