452528800 has 36 divisors (see below), whose sum is σ = 1104737886. Its totient is φ = 181011200.

The previous prime is 452528753. The next prime is 452528803. The reversal of 452528800 is 8825254.

It can be written as a sum of positive squares in 3 ways, for example, as 388720656 + 63808144 = 19716^2 + 7988^2 .

It is not an unprimeable number, because it can be changed into a prime (452528803) 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, 282031 + ... + 283630.

Almost surely, 2^452528800 is an apocalyptic number.

452528800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

452528800 is an abundant number, since it is smaller than the sum of its proper divisors (652209086).

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

452528800 is a wasteful number, since it uses less digits than its factorization.

452528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565681 (or 565668 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 34.

The square root of 452528800 is about 21272.7243201241. The cubic root of 452528800 is about 767.7421913888.

The spelling of 452528800 in words is "four hundred fifty-two million, five hundred twenty-eight thousand, eight hundred".