448919680 has 256 divisors, whose sum is σ = 1290193920. Its totient is φ = 148684800.

The previous prime is 448919671. The next prime is 448919683. The reversal of 448919680 is 86919844.

It is not an unprimeable number, because it can be changed into a prime (448919683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14481265 + ... + 14481295.

It is an arithmetic number, because the mean of its divisors is an integer number (5039820).

Almost surely, 2^448919680 is an apocalyptic number.

448919680 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 448919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645096960).

448919680 is an abundant number, since it is smaller than the sum of its proper divisors (841274240).

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

448919680 is a wasteful number, since it uses less digits than its factorization.

448919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 448919680 is about 21187.7247480705. The cubic root of 448919680 is about 765.6957118197.

The spelling of 448919680 in words is "four hundred forty-eight million, nine hundred nineteen thousand, six hundred eighty".