450211300 has 144 divisors (see below), whose sum is σ = 1239920640. Its totient is φ = 137808000.

The previous prime is 450211297. The next prime is 450211319. The reversal of 450211300 is 3112054.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 453805 + ... + 454795.

It is an arithmetic number, because the mean of its divisors is an integer number (8610560).

Almost surely, 2^450211300 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 450211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619960320).

450211300 is an abundant number, since it is smaller than the sum of its proper divisors (789709340).

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

450211300 is a wasteful number, since it uses less digits than its factorization.

450211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 450211300 is about 21218.1832398535. The cubic root of 450211300 is about 766.4293552424.

Adding to 450211300 its reverse (3112054), we get a palindrome (453323354).

The spelling of 450211300 in words is "four hundred fifty million, two hundred eleven thousand, three hundred".