450308664 has 96 divisors (see below), whose sum is σ = 1382581200. Its totient is φ = 131258880.

The previous prime is 450308659. The next prime is 450308669. The reversal of 450308664 is 466803054.

It is an interprime number because it is at equal distance from previous prime (450308659) and next prime (450308669).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450308669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5124 + ... + 30444.

Almost surely, 2^450308664 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 450308664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691290600).

450308664 is an abundant number, since it is smaller than the sum of its proper divisors (932272536).

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

450308664 is a wasteful number, since it uses less digits than its factorization.

450308664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25365 (or 25358 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 450308664 is about 21220.4774687093. The cubic root of 450308664 is about 766.4846013377.

The spelling of 450308664 in words is "four hundred fifty million, three hundred eight thousand, six hundred sixty-four".