448715500800 has 1296 divisors, whose sum is σ = 1825521909120. Its totient is φ = 96585646080.

The previous prime is 448715500771. The next prime is 448715500813. The reversal of 448715500800 is 8005517844.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1925817484 + ... + 1925817716.

It is an arithmetic number, because the mean of its divisors is an integer number (1408581720).

Almost surely, 2^448715500800 is an apocalyptic number.

448715500800 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 448715500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912760954560).

448715500800 is an abundant number, since it is smaller than the sum of its proper divisors (1376806408320).

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

448715500800 is a wasteful number, since it uses less digits than its factorization.

448715500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 42.

The spelling of 448715500800 in words is "four hundred forty-eight billion, seven hundred fifteen million, five hundred thousand, eight hundred".