448111200 has 288 divisors, whose sum is σ = 1589898240. Its totient is φ = 109209600.

The previous prime is 448111199. The next prime is 448111217. The reversal of 448111200 is 2111844.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1413442 + ... + 1413758.

It is an arithmetic number, because the mean of its divisors is an integer number (5520480).

Almost surely, 2^448111200 is an apocalyptic number.

448111200 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 448111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794949120).

448111200 is an abundant number, since it is smaller than the sum of its proper divisors (1141787040).

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

448111200 is a wasteful number, since it uses less digits than its factorization.

448111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 448111200 is about 21168.6371786188. The cubic root of 448111200 is about 765.2357767846.

The spelling of 448111200 in words is "four hundred forty-eight million, one hundred eleven thousand, two hundred".