448638472800 has 2592 divisors, whose sum is σ = 2133943418880. Its totient is φ = 87787929600.

The previous prime is 448638472753. The next prime is 448638472853. The reversal of 448638472800 is 8274836844.

It is a happy number.

448638472800 is a `hidden beast` number, since 4 + 486 + 3 + 84 + 7 + 2 + 80 + 0 = 666.

448638472800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3532586337 + ... + 3532586463.

It is an arithmetic number, because the mean of its divisors is an integer number (823280640).

Almost surely, 2^448638472800 is an apocalyptic number.

448638472800 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 448638472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066971709440).

448638472800 is an abundant number, since it is smaller than the sum of its proper divisors (1685304946080).

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

448638472800 is a wasteful number, since it uses less digits than its factorization.

448638472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 448638472800 in words is "four hundred forty-eight billion, six hundred thirty-eight million, four hundred seventy-two thousand, eight hundred".