448097328 has 120 divisors (see below), whose sum is σ = 1482717600. Its totient is φ = 123604992.

The previous prime is 448097327. The next prime is 448097333. The reversal of 448097328 is 823790844.

It is not an unprimeable number, because it can be changed into a prime (448097327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21568 + ... + 36896.

It is an arithmetic number, because the mean of its divisors is an integer number (12355980).

Almost surely, 2^448097328 is an apocalyptic number.

448097328 is a gapful number since it is divisible by the number (48) 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 448097328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741358800).

448097328 is an abundant number, since it is smaller than the sum of its proper divisors (1034620272).

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

448097328 is a wasteful number, since it uses less digits than its factorization.

448097328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15379 (or 15370 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 448097328 is about 21168.3095215466. The cubic root of 448097328 is about 765.2278803367.

The spelling of 448097328 in words is "four hundred forty-eight million, ninety-seven thousand, three hundred twenty-eight".