450231600 has 720 divisors, whose sum is σ = 1963207680. Its totient is φ = 87091200.

The previous prime is 450231571. The next prime is 450231623. The reversal of 450231600 is 6132054.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 143 ways as a sum of consecutive naturals, for example, 14523585 + ... + 14523615.

Almost surely, 2^450231600 is an apocalyptic number.

450231600 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 450231600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981603840).

450231600 is an abundant number, since it is smaller than the sum of its proper divisors (1512976080).

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

450231600 is a wasteful number, since it uses less digits than its factorization.

450231600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 450231600 is about 21218.6615977540. The cubic root of 450231600 is about 766.4408744869.

Adding to 450231600 its reverse (6132054), we get a palindrome (456363654).

The spelling of 450231600 in words is "four hundred fifty million, two hundred thirty-one thousand, six hundred".