452532800 has 42 divisors (see below), whose sum is σ = 1113517458. Its totient is φ = 181012480.

The previous prime is 452532799. The next prime is 452532803. The reversal of 452532800 is 8235254.

It can be written as a sum of positive squares in 3 ways, for example, as 5125696 + 447407104 = 2264^2 + 21152^2 .

It is not an unprimeable number, because it can be changed into a prime (452532803) 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 5 ways as a sum of consecutive naturals, for example, 139817 + ... + 143016.

Almost surely, 2^452532800 is an apocalyptic number.

452532800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

452532800 is an abundant number, since it is smaller than the sum of its proper divisors (660984658).

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

452532800 is a wasteful number, since it uses less digits than its factorization.

452532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282855 (or 282840 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 452532800 is about 21272.8183370234. The cubic root of 452532800 is about 767.7444534619.

The spelling of 452532800 in words is "four hundred fifty-two million, five hundred thirty-two thousand, eight hundred".