450735090 has 64 divisors (see below), whose sum is σ = 1167578496. Its totient is φ = 110702592.

The previous prime is 450735083. The next prime is 450735101. The reversal of 450735090 is 90537054.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224029 + ... + 226031.

It is an arithmetic number, because the mean of its divisors is an integer number (18243414).

Almost surely, 2^450735090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450735090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583789248).

450735090 is an abundant number, since it is smaller than the sum of its proper divisors (716843406).

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

450735090 is a wasteful number, since it uses less digits than its factorization.

450735090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2603.

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 450735090 is about 21230.5226030826. The cubic root of 450735090 is about 766.7264693951.

The spelling of 450735090 in words is "four hundred fifty million, seven hundred thirty-five thousand, ninety".