448711200 has 432 divisors, whose sum is σ = 1876754880. Its totient is φ = 98703360.

The previous prime is 448711199. The next prime is 448711223. The reversal of 448711200 is 2117844.

448711200 is a `hidden beast` number, since 448 + 7 + 11 + 200 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1461447 + ... + 1461753.

It is an arithmetic number, because the mean of its divisors is an integer number (4344340).

Almost surely, 2^448711200 is an apocalyptic number.

448711200 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 448711200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938377440).

448711200 is an abundant number, since it is smaller than the sum of its proper divisors (1428043680).

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

448711200 is a wasteful number, since it uses less digits than its factorization.

448711200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 448711200 is about 21182.8043469225. The cubic root of 448711200 is about 765.5771628032.

The spelling of 448711200 in words is "four hundred forty-eight million, seven hundred eleven thousand, two hundred".