452563200 has 378 divisors, whose sum is σ = 1696792874. Its totient is φ = 119439360.

The previous prime is 452563193. The next prime is 452563201. The reversal of 452563200 is 2365254.

452563200 is a `hidden beast` number, since 4 + 5 + 25 + 632 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 22581504 + 429981696 = 4752^2 + 20736^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (452563201) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4665552 + ... + 4665648.

Almost surely, 2^452563200 is an apocalyptic number.

452563200 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 452563200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848396437).

452563200 is an abundant number, since it is smaller than the sum of its proper divisors (1244229674).

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

452563200 is an frugal number, since it uses more digits than its factorization.

452563200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 452563200 is about 21273.5328518796. The cubic root of 452563200 is about 767.7616447821.

The spelling of 452563200 in words is "four hundred fifty-two million, five hundred sixty-three thousand, two hundred".