448586880 has 128 divisors (see below), whose sum is σ = 1634186880. Its totient is φ = 102531072.

The previous prime is 448586869. The next prime is 448586881. The reversal of 448586880 is 88685844.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448586881) 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 15 ways as a sum of consecutive naturals, for example, 3249 + ... + 30128.

It is an arithmetic number, because the mean of its divisors is an integer number (12767085).

Almost surely, 2^448586880 is an apocalyptic number.

448586880 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 448586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817093440).

448586880 is an abundant number, since it is smaller than the sum of its proper divisors (1185600000).

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

448586880 is a wasteful number, since it uses less digits than its factorization.

448586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33406 (or 33394 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 51.

The square root of 448586880 is about 21179.8696879844. The cubic root of 448586880 is about 765.5064526269.

The spelling of 448586880 in words is "four hundred forty-eight million, five hundred eighty-six thousand, eight hundred eighty".