450643600 has 240 divisors, whose sum is σ = 1269811584. Its totient is φ = 152064000.

The previous prime is 450643561. The next prime is 450643601. The reversal of 450643600 is 6346054.

It is not an unprimeable number, because it can be changed into a prime (450643601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6173164 + ... + 6173236.

Almost surely, 2^450643600 is an apocalyptic number.

450643600 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 450643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634905792).

450643600 is an abundant number, since it is smaller than the sum of its proper divisors (819167984).

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

450643600 is a wasteful number, since it uses less digits than its factorization.

450643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 450643600 is about 21228.3678129054. The cubic root of 450643600 is about 766.6745892901.

Adding to 450643600 its reverse (6346054), we get a palindrome (456989654).

The spelling of 450643600 in words is "four hundred fifty million, six hundred forty-three thousand, six hundred".