452838400 has 297 divisors, whose sum is σ = 1378095669. Its totient is φ = 147087360.

The previous prime is 452838383. The next prime is 452838427. The reversal of 452838400 is 4838254.

The square root of 452838400 is 21280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 163021824 + 289816576 = 12768^2 + 17024^2 .

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 26 ways as a sum of consecutive naturals, for example, 23833591 + ... + 23833609.

Almost surely, 2^452838400 is an apocalyptic number.

452838400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

452838400 is the 21280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452838400

452838400 is an abundant number, since it is smaller than the sum of its proper divisors (925257269).

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

452838400 is a wasteful number, since it uses less digits than its factorization.

452838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The cubic root of 452838400 is about 767.9172364517.

The spelling of 452838400 in words is "four hundred fifty-two million, eight hundred thirty-eight thousand, four hundred".