448521528 has 128 divisors (see below), whose sum is σ = 1440230400. Its totient is φ = 113135616.

The previous prime is 448521503. The next prime is 448521529. The reversal of 448521528 is 825125844.

It is a happy number.

It is a super-2 number, since 2×448521528² = 402343122158909568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448521529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45768 + ... + 54696.

It is an arithmetic number, because the mean of its divisors is an integer number (11251800).

Almost surely, 2^448521528 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 448521528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720115200).

448521528 is an abundant number, since it is smaller than the sum of its proper divisors (991708872).

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

448521528 is a wasteful number, since it uses less digits than its factorization.

448521528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8981 (or 8977 counting only the distinct ones).

The product of its digits is 102400, while the sum is 39.

The square root of 448521528 is about 21178.3268460943. The cubic root of 448521528 is about 765.4692767683.

The spelling of 448521528 in words is "four hundred forty-eight million, five hundred twenty-one thousand, five hundred twenty-eight".