452088400 has 60 divisors (see below), whose sum is σ = 1096212700. Its totient is φ = 179159040.

The previous prime is 452088383. The next prime is 452088419. The reversal of 452088400 is 4880254.

It can be written as a sum of positive squares in 6 ways, for example, as 43401744 + 408686656 = 6588^2 + 20216^2 .

It is a congruent number.

It is an unprimeable number.

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, 38416 + ... + 48784.

Almost surely, 2^452088400 is an apocalyptic number.

452088400 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 452088400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548106350).

452088400 is an abundant number, since it is smaller than the sum of its proper divisors (644124300).

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

452088400 is a wasteful number, since it uses less digits than its factorization.

452088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10496 (or 10485 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 452088400 is about 21262.3705169485. The cubic root of 452088400 is about 767.4930555664.

The spelling of 452088400 in words is "four hundred fifty-two million, eighty-eight thousand, four hundred".