543822400 has 189 divisors, whose sum is σ = 1499126923. Its totient is φ = 194022400.

The previous prime is 543822371. The next prime is 543822403. The reversal of 543822400 is 4228345.

The square root of 543822400 is 23320.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4096576 + 539725824 = 2024^2 + 23232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (543822403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10260774 + ... + 10260826.

Almost surely, 2^543822400 is an apocalyptic number.

543822400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

543822400 is the 23320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 543822400

543822400 is an abundant number, since it is smaller than the sum of its proper divisors (955304523).

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

543822400 is a wasteful number, since it uses less digits than its factorization.

543822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The cubic root of 543822400 is about 816.2421746915.

The spelling of 543822400 in words is "five hundred forty-three million, eight hundred twenty-two thousand, four hundred".