450566090 has 64 divisors (see below), whose sum is σ = 940972032. Its totient is φ = 153964800.

The previous prime is 450566041. The next prime is 450566093. The reversal of 450566090 is 90665054.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 450566090.

It is not an unprimeable number, because it can be changed into a prime (450566093) 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, 90260 + ... + 95120.

It is an arithmetic number, because the mean of its divisors is an integer number (14702688).

Almost surely, 2^450566090 is an apocalyptic number.

450566090 is an abundant number, since it is smaller than the sum of its proper divisors (490405942).

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

450566090 is a wasteful number, since it uses less digits than its factorization.

450566090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4935.

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 450566090 is about 21226.5421112342. The cubic root of 450566090 is about 766.6306311565.

The spelling of 450566090 in words is "four hundred fifty million, five hundred sixty-six thousand, ninety".