452327200 has 288 divisors, whose sum is σ = 1301916672. Its totient is φ = 152064000.

The previous prime is 452327189. The next prime is 452327209. The reversal of 452327200 is 2723254.

It is a super-4 number, since 4×452327200⁴ (a number of 36 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (452327209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7415170 + ... + 7415230.

It is an arithmetic number, because the mean of its divisors is an integer number (4520544).

Almost surely, 2^452327200 is an apocalyptic number.

452327200 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 452327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650958336).

452327200 is an abundant number, since it is smaller than the sum of its proper divisors (849589472).

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

452327200 is a wasteful number, since it uses less digits than its factorization.

452327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 452327200 is about 21267.9853300683. The cubic root of 452327200 is about 767.6281656328.

The spelling of 452327200 in words is "four hundred fifty-two million, three hundred twenty-seven thousand, two hundred".