450300084 has 96 divisors (see below), whose sum is σ = 1165933440. Its totient is φ = 134404608.

The previous prime is 450300083. The next prime is 450300107. The reversal of 450300084 is 480003054.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450300083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 884422 + ... + 884930.

It is an arithmetic number, because the mean of its divisors is an integer number (12145140).

Almost surely, 2^450300084 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 450300084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582966720).

450300084 is an abundant number, since it is smaller than the sum of its proper divisors (715633356).

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

450300084 is a wasteful number, since it uses less digits than its factorization.

450300084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 450300084 is about 21220.2753045289. The cubic root of 450300084 is about 766.4797332104.

The spelling of 450300084 in words is "four hundred fifty million, three hundred thousand, eighty-four".