450642204800 has 72 divisors (see below), whose sum is σ = 1113320888085. Its totient is φ = 180241692160.

The previous prime is 450642204781. The next prime is 450642204829. The reversal of 450642204800 is 8402246054.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 441629360704 + 9012844096 = 664552^2 + 94936^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=474680.

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 8 ways as a sum of consecutive naturals, for example, 37968467 + ... + 37980333.

Almost surely, 2^450642204800 is an apocalyptic number.

450642204800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450642204800 is an abundant number, since it is smaller than the sum of its proper divisors (662678683285).

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

450642204800 is an frugal number, since it uses more digits than its factorization.

450642204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23758 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The spelling of 450642204800 in words is "four hundred fifty billion, six hundred forty-two million, two hundred four thousand, eight hundred".