448287648 has 96 divisors (see below), whose sum is σ = 1203019776. Its totient is φ = 146135808.

The previous prime is 448287647. The next prime is 448287661. The reversal of 448287648 is 846782844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 448287648.

It is not an unprimeable number, because it can be changed into a prime (448287647) 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, 1011715 + ... + 1012157.

It is an arithmetic number, because the mean of its divisors is an integer number (12531456).

Almost surely, 2^448287648 is an apocalyptic number.

448287648 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 448287648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601509888).

448287648 is an abundant number, since it is smaller than the sum of its proper divisors (754732128).

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

448287648 is a wasteful number, since it uses less digits than its factorization.

448287648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 658 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 51.

The square root of 448287648 is about 21172.8044434364. The cubic root of 448287648 is about 765.3362031995.

The spelling of 448287648 in words is "four hundred forty-eight million, two hundred eighty-seven thousand, six hundred forty-eight".