448041888 has 288 divisors, whose sum is σ = 1603022400. Its totient is φ = 121056768.

The previous prime is 448041871. The next prime is 448041899. The reversal of 448041888 is 888140844.

It is a Cunningham number, because it is equal to 21167²-1.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 804106 + ... + 804662.

It is an arithmetic number, because the mean of its divisors is an integer number (5566050).

Almost surely, 2^448041888 is an apocalyptic number.

448041888 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 448041888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801511200).

448041888 is an abundant number, since it is smaller than the sum of its proper divisors (1154980512).

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

448041888 is a wasteful number, since it uses less digits than its factorization.

448041888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 45.

The square root of 448041888 is about 21166.9999763783. Note that the first 4 decimals coincide. The cubic root of 448041888 is about 765.1963202411.

The spelling of 448041888 in words is "four hundred forty-eight million, forty-one thousand, eight hundred eighty-eight".