448291344 has 80 divisors (see below), whose sum is σ = 1214208000. Its totient is φ = 142251648.

The previous prime is 448291303. The next prime is 448291351. The reversal of 448291344 is 443192844.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263007 + ... + 264705.

It is an arithmetic number, because the mean of its divisors is an integer number (15177600).

Almost surely, 2^448291344 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 448291344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607104000).

448291344 is an abundant number, since it is smaller than the sum of its proper divisors (765916656).

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

448291344 is a wasteful number, since it uses less digits than its factorization.

448291344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1966 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 448291344 is about 21172.8917250337. The cubic root of 448291344 is about 765.3383065177.

The spelling of 448291344 in words is "four hundred forty-eight million, two hundred ninety-one thousand, three hundred forty-four".