448531200 has 324 divisors, whose sum is σ = 1729837200. Its totient is φ = 110223360.

The previous prime is 448531189. The next prime is 448531207. The reversal of 448531200 is 2135844.

It is not an unprimeable number, because it can be changed into a prime (448531207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748501 + ... + 749099.

Almost surely, 2^448531200 is an apocalyptic number.

448531200 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 448531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864918600).

448531200 is an abundant number, since it is smaller than the sum of its proper divisors (1281306000).

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

448531200 is a wasteful number, since it uses less digits than its factorization.

448531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 448531200 is about 21178.5551915139. Note that the first 3 decimals coincide. The cubic root of 448531200 is about 765.4747789684.

The spelling of 448531200 in words is "four hundred forty-eight million, five hundred thirty-one thousand, two hundred".