450659664 has 360 divisors, whose sum is σ = 1678720680. Its totient is φ = 111863808.

The previous prime is 450659663. The next prime is 450659683. The reversal of 450659664 is 466956054.

450659664 is a `hidden beast` number, since 4 + 50 + 6 + 596 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27123264 + 423536400 = 5208^2 + 20580^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450659663) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 26509384 + ... + 26509400.

It is an arithmetic number, because the mean of its divisors is an integer number (4663113).

Almost surely, 2^450659664 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 450659664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839360340).

450659664 is an abundant number, since it is smaller than the sum of its proper divisors (1228061016).

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

450659664 is a wasteful number, since it uses less digits than its factorization.

450659664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 450659664 is about 21228.7461711708. The cubic root of 450659664 is about 766.6836990125.

The spelling of 450659664 in words is "four hundred fifty million, six hundred fifty-nine thousand, six hundred sixty-four".