448797100800 has 216 divisors, whose sum is σ = 1485272436480. Its totient is φ = 119344025600.

The previous prime is 448797100793. The next prime is 448797100811. The reversal of 448797100800 is 8001797844.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 448797100800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6860245 + ... + 6925355.

It is an arithmetic number, because the mean of its divisors is an integer number (6876261280).

Almost surely, 2^448797100800 is an apocalyptic number.

448797100800 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 448797100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742636218240).

448797100800 is an abundant number, since it is smaller than the sum of its proper divisors (1036475335680).

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

448797100800 is a wasteful number, since it uses less digits than its factorization.

448797100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65499 (or 65480 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 448797100800 in words is "four hundred forty-eight billion, seven hundred ninety-seven million, one hundred thousand, eight hundred".