563522400 has 288 divisors, whose sum is σ = 2329850880. Its totient is φ = 128770560.

The previous prime is 563522381. The next prime is 563522419. The reversal of 563522400 is 4225365.

563522400 is a `hidden beast` number, since 5 + 635 + 2 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (563522381) and next prime (563522419).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 149337 + ... + 153063.

It is an arithmetic number, because the mean of its divisors is an integer number (8089760).

Almost surely, 2^563522400 is an apocalyptic number.

563522400 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 563522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164925440).

563522400 is an abundant number, since it is smaller than the sum of its proper divisors (1766328480).

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

563522400 is a wasteful number, since it uses less digits than its factorization.

563522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 563522400 is about 23738.6267505094. The cubic root of 563522400 is about 825.9816414300.

Adding to 563522400 its reverse (4225365), we get a palindrome (567747765).

The spelling of 563522400 in words is "five hundred sixty-three million, five hundred twenty-two thousand, four hundred".