448936800 has 144 divisors (see below), whose sum is σ = 1573805520. Its totient is φ = 110499840.

The previous prime is 448936777. The next prime is 448936801. The reversal of 448936800 is 8639844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448936801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 24006 + ... + 38394.

It is an arithmetic number, because the mean of its divisors is an integer number (10929205).

Almost surely, 2^448936800 is an apocalyptic number.

448936800 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 448936800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786902760).

448936800 is an abundant number, since it is smaller than the sum of its proper divisors (1124868720).

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

448936800 is a wasteful number, since it uses less digits than its factorization.

448936800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14425 (or 14412 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 448936800 is about 21188.1287517327. The cubic root of 448936800 is about 765.7054452193.

The spelling of 448936800 in words is "four hundred forty-eight million, nine hundred thirty-six thousand, eight hundred".