563434400 has 108 divisors (see below), whose sum is σ = 1461754098. Its totient is φ = 212029440.

The previous prime is 563434397. The next prime is 563434429. The reversal of 563434400 is 4434365.

It can be written as a sum of positive squares in 9 ways, for example, as 299566864 + 263867536 = 17308^2 + 16244^2 .

It is a super-3 number, since 3×563434400³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 229982 + ... + 232418.

Almost surely, 2^563434400 is an apocalyptic number.

563434400 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 563434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730877049).

563434400 is an abundant number, since it is smaller than the sum of its proper divisors (898319698).

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

563434400 is a wasteful number, since it uses less digits than its factorization.

563434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 563434400 is about 23736.7731589616. The cubic root of 563434400 is about 825.9386439269.

Adding to 563434400 its reverse (4434365), we get a palindrome (567868765).

The spelling of 563434400 in words is "five hundred sixty-three million, four hundred thirty-four thousand, four hundred".