448809984 has 220 divisors, whose sum is σ = 1533677904. Its totient is φ = 128065536.

The previous prime is 448809961. The next prime is 448810031. The reversal of 448809984 is 489908844.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 448809984.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 580222 + ... + 580994.

Almost surely, 2^448809984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766838952).

448809984 is an abundant number, since it is smaller than the sum of its proper divisors (1084867920).

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

448809984 is an equidigital number, since it uses as much as digits as its factorization.

448809984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 448809984 is about 21185.1359212066. The cubic root of 448809984 is about 765.6333394155.

The spelling of 448809984 in words is "four hundred forty-eight million, eight hundred nine thousand, nine hundred eighty-four".