448528 has 30 divisors (see below), whose sum is σ = 932666. Its totient is φ = 208896.

The previous prime is 448519. The next prime is 448531. The reversal of 448528 is 825844.

It can be written as a sum of positive squares in 3 ways, for example, as 169744 + 278784 = 412^2 + 528^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 448528.

It is an unprimeable number.

448528 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4576 + ... + 4672.

2⁴⁴⁸⁵²⁸ 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 448528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466333).

448528 is an abundant number, since it is smaller than the sum of its proper divisors (484138).

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

448528 is a wasteful number, since it uses less digits than its factorization.

448528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its digits is 10240, while the sum is 31.

The square root of 448528 is about 669.7223305221. The cubic root of 448528 is about 76.5472958564.

The spelling of 448528 in words is "four hundred forty-eight thousand, five hundred twenty-eight".