448452485200 has 180 divisors, whose sum is σ = 1151861795968. Its totient is φ = 167604595200.

The previous prime is 448452485189. The next prime is 448452485207. The reversal of 448452485200 is 2584254844.

It is a super-2 number, since 2×448452485200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448452485207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10406899 + ... + 10449901.

Almost surely, 2^448452485200 is an apocalyptic number.

448452485200 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 448452485200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575930897984).

448452485200 is an abundant number, since it is smaller than the sum of its proper divisors (703409310768).

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

448452485200 is a wasteful number, since it uses less digits than its factorization.

448452485200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43110 (or 43070 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 46.

The spelling of 448452485200 in words is "four hundred forty-eight billion, four hundred fifty-two million, four hundred eighty-five thousand, two hundred".