448643520 has 336 divisors, whose sum is σ = 1737433152. Its totient is φ = 105431040.

The previous prime is 448643491. The next prime is 448643557. The reversal of 448643520 is 25346844.

448643520 is a `hidden beast` number, since 4 + 4 + 8 + 643 + 5 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860860 + ... + 861380.

It is an arithmetic number, because the mean of its divisors is an integer number (5170932).

Almost surely, 2^448643520 is an apocalyptic number.

448643520 is a gapful number since it is divisible by the number (40) 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 448643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868716576).

448643520 is an abundant number, since it is smaller than the sum of its proper divisors (1288789632).

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

448643520 is a wasteful number, since it uses less digits than its factorization.

448643520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 448643520 is about 21181.2067644882. The cubic root of 448643520 is about 765.5386696940.

It can be divided in two parts, 44864 and 3520, that added together give a palindrome (48384).

The spelling of 448643520 in words is "four hundred forty-eight million, six hundred forty-three thousand, five hundred twenty".