450090 has 32 divisors (see below), whose sum is σ = 1200960. Its totient is φ = 119952.

The previous prime is 450083. The next prime is 450101. The reversal of 450090 is 90054.

450090 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (37530).

2⁴⁵⁰⁰⁹⁰ is an apocalyptic number.

450090 is an abundant number, since it is smaller than the sum of its proper divisors (750870).

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

450090 is a wasteful number, since it uses less digits than its factorization.

450090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 450090 is about 670.8874719355. The cubic root of 450090 is about 76.6360516284.

The spelling of 450090 in words is "four hundred fifty thousand, ninety".