448538695200 has 432 divisors, whose sum is σ = 1652723968896. Its totient is φ = 114250752000.

The previous prime is 448538695133. The next prime is 448538695201. The reversal of 448538695200 is 2596835844.

448538695200 is a `hidden beast` number, since 4 + 4 + 8 + 53 + 8 + 69 + 520 + 0 = 666.

It is a super-2 number, since 2×448538695200² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (448538695201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 160133800 + ... + 160136600.

It is an arithmetic number, because the mean of its divisors is an integer number (3825749928).

Almost surely, 2^448538695200 is an apocalyptic number.

448538695200 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 448538695200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826361984448).

448538695200 is an abundant number, since it is smaller than the sum of its proper divisors (1204185273696).

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

448538695200 is a wasteful number, since it uses less digits than its factorization.

448538695200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3801 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 448538695200 in words is "four hundred forty-eight billion, five hundred thirty-eight million, six hundred ninety-five thousand, two hundred".