450321300 has 216 divisors, whose sum is σ = 1658748000. Its totient is φ = 100742400.

The previous prime is 450321293. The next prime is 450321307. The reversal of 450321300 is 3123054.

450321300 is a `hidden beast` number, since 45 + 0 + 321 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (450321293) and next prime (450321307).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450321307) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 126951 + ... + 130449.

Almost surely, 2^450321300 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 450321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829374000).

450321300 is an abundant number, since it is smaller than the sum of its proper divisors (1208426700).

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

450321300 is a wasteful number, since it uses less digits than its factorization.

450321300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3543 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 450321300 is about 21220.7751979045. The cubic root of 450321300 is about 766.4917706488.

Adding to 450321300 its reverse (3123054), we get a palindrome (453444354).

The spelling of 450321300 in words is "four hundred fifty million, three hundred twenty-one thousand, three hundred".