448381839360 has 768 divisors, whose sum is σ = 1783192320000. Its totient is φ = 93656973312.

The previous prime is 448381839337. The next prime is 448381839361. The reversal of 448381839360 is 63938183844.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 448381839360.

It is not an unprimeable number, because it can be changed into a prime (448381839361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 299119891 + ... + 299121389.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865000).

Almost surely, 2^448381839360 is an apocalyptic number.

448381839360 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 448381839360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891596160000).

448381839360 is an abundant number, since it is smaller than the sum of its proper divisors (1334810480640).

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

448381839360 is a wasteful number, since it uses less digits than its factorization.

448381839360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 57.

The spelling of 448381839360 in words is "four hundred forty-eight billion, three hundred eighty-one million, eight hundred thirty-nine thousand, three hundred sixty".