448529078400 has 1536 divisors, whose sum is σ = 1767036902400. Its totient is φ = 99028500480.

The previous prime is 448529078399. The next prime is 448529078411. The reversal of 448529078400 is 4870925844.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5403964759 + ... + 5403964841.

It is an arithmetic number, because the mean of its divisors is an integer number (1150414650).

Almost surely, 2^448529078400 is an apocalyptic number.

448529078400 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 448529078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883518451200).

448529078400 is an abundant number, since it is smaller than the sum of its proper divisors (1318507824000).

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

448529078400 is a wasteful number, since it uses less digits than its factorization.

448529078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 448529078400 in words is "four hundred forty-eight billion, five hundred twenty-nine million, seventy-eight thousand, four hundred".