448297200 has 480 divisors, whose sum is σ = 1790996480. Its totient is φ = 105753600.

The previous prime is 448297181. The next prime is 448297207. The reversal of 448297200 is 2792844.

448297200 is a `hidden beast` number, since 448 + 2 + 9 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448297207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4352349 + ... + 4352451.

Almost surely, 2^448297200 is an apocalyptic number.

448297200 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 448297200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895498240).

448297200 is an abundant number, since it is smaller than the sum of its proper divisors (1342699280).

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

448297200 is a wasteful number, since it uses less digits than its factorization.

448297200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 448297200 is about 21173.0300146200. The cubic root of 448297200 is about 765.3416390244.

The spelling of 448297200 in words is "four hundred forty-eight million, two hundred ninety-seven thousand, two hundred".