448232800 has 144 divisors (see below), whose sum is σ = 1184455440. Its totient is φ = 165058560.

The previous prime is 448232797. The next prime is 448232801. The reversal of 448232800 is 8232844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448232801) 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 23 ways as a sum of consecutive naturals, for example, 562002 + ... + 562798.

It is an arithmetic number, because the mean of its divisors is an integer number (8225385).

Almost surely, 2^448232800 is an apocalyptic number.

448232800 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 448232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592227720).

448232800 is an abundant number, since it is smaller than the sum of its proper divisors (736222640).

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

448232800 is a wasteful number, since it uses less digits than its factorization.

448232800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 448232800 is about 21171.5091573558. The cubic root of 448232800 is about 765.3049889613.

The spelling of 448232800 in words is "four hundred forty-eight million, two hundred thirty-two thousand, eight hundred".