450528520 has 64 divisors (see below), whose sum is σ = 1095761520. Its totient is φ = 165725184.

The previous prime is 450528497. The next prime is 450528523. The reversal of 450528520 is 25825054.

It can be written as a sum of positive squares in 8 ways, for example, as 154206724 + 296321796 = 12418^2 + 17214^2 .

It is not an unprimeable number, because it can be changed into a prime (450528523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150882 + ... + 153838.

Almost surely, 2^450528520 is an apocalyptic number.

450528520 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 450528520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547880760).

450528520 is an abundant number, since it is smaller than the sum of its proper divisors (645233000).

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

450528520 is a wasteful number, since it uses less digits than its factorization.

450528520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The square root of 450528520 is about 21225.6571158586. The cubic root of 450528520 is about 766.6093223230.

The spelling of 450528520 in words is "four hundred fifty million, five hundred twenty-eight thousand, five hundred twenty".