448649568 has 144 divisors (see below), whose sum is σ = 1331025696. Its totient is φ = 143216640.

The previous prime is 448649561. The next prime is 448649599. The reversal of 448649568 is 865946844.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448649561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 756280 + ... + 756872.

It is an arithmetic number, because the mean of its divisors is an integer number (9243234).

Almost surely, 2^448649568 is an apocalyptic number.

448649568 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 448649568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665512848).

448649568 is an abundant number, since it is smaller than the sum of its proper divisors (882376128).

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

448649568 is a wasteful number, since it uses less digits than its factorization.

448649568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 706 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 448649568 is about 21181.3495320766. The cubic root of 448649568 is about 765.5421096612.

The spelling of 448649568 in words is "four hundred forty-eight million, six hundred forty-nine thousand, five hundred sixty-eight".