448630688 has 48 divisors (see below), whose sum is σ = 973153440. Its totient is φ = 201888000.

The previous prime is 448630649. The next prime is 448630691. The reversal of 448630688 is 886036844.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29243 + ... + 41861.

It is an arithmetic number, because the mean of its divisors is an integer number (20274030).

Almost surely, 2^448630688 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 448630688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486576720).

448630688 is an abundant number, since it is smaller than the sum of its proper divisors (524522752).

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

448630688 is a wasteful number, since it uses less digits than its factorization.

448630688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12741 (or 12733 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 47.

The square root of 448630688 is about 21180.9038522911. The cubic root of 448630688 is about 765.5313710367.

It can be divided in two parts, 448 and 630688, that added together give a palindrome (631136).

The spelling of 448630688 in words is "four hundred forty-eight million, six hundred thirty thousand, six hundred eighty-eight".