450304000 has 96 divisors (see below), whose sum is σ = 1124323200. Its totient is φ = 180019200.

The previous prime is 450303941. The next prime is 450304003. The reversal of 450304000 is 403054.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450304003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255121 + ... + 256879.

It is an arithmetic number, because the mean of its divisors is an integer number (11711700).

Almost surely, 2^450304000 is an apocalyptic number.

450304000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562161600).

450304000 is an abundant number, since it is smaller than the sum of its proper divisors (674019200).

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

450304000 is an equidigital number, since it uses as much as digits as its factorization.

450304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 450304000 is about 21220.3675745733. The cubic root of 450304000 is about 766.4819550813.

Adding to 450304000 its reverse (403054), we get a palindrome (450707054).

The spelling of 450304000 in words is "four hundred fifty million, three hundred four thousand".