563430400 has 132 divisors (see below), whose sum is σ = 1504946212. Its totient is φ = 207912960.

The previous prime is 563430397. The next prime is 563430433. The reversal of 563430400 is 4034365.

It can be written as a sum of positive squares in 6 ways, for example, as 84345856 + 479084544 = 9184^2 + 21888^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331954 + ... + 333646.

Almost surely, 2^563430400 is an apocalyptic number.

563430400 is a gapful number since it is divisible by the number (50) 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 563430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752473106).

563430400 is an abundant number, since it is smaller than the sum of its proper divisors (941515812).

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

563430400 is a wasteful number, since it uses less digits than its factorization.

563430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 563430400 is about 23736.6889013611. The cubic root of 563430400 is about 825.9366893886.

Adding to 563430400 its reverse (4034365), we get a palindrome (567464765).

The spelling of 563430400 in words is "five hundred sixty-three million, four hundred thirty thousand, four hundred".