448436160000 has 300 divisors, whose sum is σ = 1617264100452. Its totient is φ = 119582208000.

The previous prime is 448436159993. The next prime is 448436160047. The reversal of 448436160000 is 61634844.

448436160000 is a `hidden beast` number, since 4 + 4 + 8 + 43 + 6 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 2802147 + ... + 2957853.

Almost surely, 2^448436160000 is an apocalyptic number.

448436160000 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 448436160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808632050226).

448436160000 is an abundant number, since it is smaller than the sum of its proper divisors (1168827940452).

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

448436160000 is an equidigital number, since it uses as much as digits as its factorization.

448436160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155751 (or 155717 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 448436160000 its reverse (61634844), we get a palindrome (448497794844).

The spelling of 448436160000 in words is "four hundred forty-eight billion, four hundred thirty-six million, one hundred sixty thousand".