450806800 has 60 divisors (see below), whose sum is σ = 1086041476. Its totient is φ = 179827200.

The previous prime is 450806747. The next prime is 450806803. The reversal of 450806800 is 8608054.

It can be written as a sum of positive squares in 6 ways, for example, as 242985744 + 207821056 = 15588^2 + 14416^2 .

It is not an unprimeable number, because it can be changed into a prime (450806803) 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 11 ways as a sum of consecutive naturals, for example, 167062 + ... + 169738.

Almost surely, 2^450806800 is an apocalyptic number.

450806800 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 450806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543020738).

450806800 is an abundant number, since it is smaller than the sum of its proper divisors (635234676).

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

450806800 is a wasteful number, since it uses less digits than its factorization.

450806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3116 (or 3105 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 450806800 is about 21232.2113779983. The cubic root of 450806800 is about 766.7671281921.

The spelling of 450806800 in words is "four hundred fifty million, eight hundred six thousand, eight hundred".