450766944 has 216 divisors, whose sum is σ = 1413561240. Its totient is φ = 141087744.

The previous prime is 450766909. The next prime is 450766957. The reversal of 450766944 is 449667054.

It is a tau number, because it is divible by the number of its divisors (216).

It is a self number, because there is not a number n which added to its sum of digits gives 450766944.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3989032 + ... + 3989144.

It is an arithmetic number, because the mean of its divisors is an integer number (6544265).

Almost surely, 2^450766944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450766944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706780620).

450766944 is an abundant number, since it is smaller than the sum of its proper divisors (962794296).

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

450766944 is an equidigital number, since it uses as much as digits as its factorization.

450766944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 450766944 is about 21231.2727833260. The cubic root of 450766944 is about 766.7445308021.

The spelling of 450766944 in words is "four hundred fifty million, seven hundred sixty-six thousand, nine hundred forty-four".