450580 has 24 divisors (see below), whose sum is σ = 1019592. Its totient is φ = 166272.

The previous prime is 450563. The next prime is 450581. The reversal of 450580 is 85054.

It is a happy number.

450580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4356 + 446224 = 66^2 + 668^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450581) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 607 + ... + 1126.

It is an arithmetic number, because the mean of its divisors is an integer number (42483).

2⁴⁵⁰⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

450580 is an abundant number, since it is smaller than the sum of its proper divisors (569012).

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

450580 is a wasteful number, since it uses less digits than its factorization.

450580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 450580 is about 671.2525605165. The cubic root of 450580 is about 76.6638520286.

The spelling of 450580 in words is "four hundred fifty thousand, five hundred eighty".