450530080 has 384 divisors, whose sum is σ = 1493614080. Its totient is φ = 123863040.

The previous prime is 450530029. The next prime is 450530081. The reversal of 450530080 is 80035054.

450530080 = 147² + 148² + ... + 1106².

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (450530081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4644592 + ... + 4644688.

It is an arithmetic number, because the mean of its divisors is an integer number (3889620).

Almost surely, 2^450530080 is an apocalyptic number.

450530080 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 450530080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746807040).

450530080 is an abundant number, since it is smaller than the sum of its proper divisors (1043084000).

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

450530080 is a wasteful number, since it uses less digits than its factorization.

450530080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 450530080 is about 21225.6938638057. The cubic root of 450530080 is about 766.6102071424.

The spelling of 450530080 in words is "four hundred fifty million, five hundred thirty thousand, eighty".