448816320 has 336 divisors, whose sum is σ = 1668962880. Its totient is φ = 110297088.

The previous prime is 448816307. The next prime is 448816331. The reversal of 448816320 is 23618844.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4357389 + ... + 4357491.

Almost surely, 2^448816320 is an apocalyptic number.

448816320 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 448816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834481440).

448816320 is an abundant number, since it is smaller than the sum of its proper divisors (1220146560).

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

448816320 is a wasteful number, since it uses less digits than its factorization.

448816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 448816320 is about 21185.2854594881. The cubic root of 448816320 is about 765.6369422988.

The spelling of 448816320 in words is "four hundred forty-eight million, eight hundred sixteen thousand, three hundred twenty".