563642400 has 72 divisors (see below), whose sum is σ = 1834663824. Its totient is φ = 150304000.

The previous prime is 563642369. The next prime is 563642407. The reversal of 563642400 is 4246365.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (563642407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 115026 + ... + 119825.

It is an arithmetic number, because the mean of its divisors is an integer number (25481442).

Almost surely, 2^563642400 is an apocalyptic number.

563642400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

563642400 is an abundant number, since it is smaller than the sum of its proper divisors (1271021424).

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

563642400 is a wasteful number, since it uses less digits than its factorization.

563642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234874 (or 234861 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 563642400 is about 23741.1541421221. The cubic root of 563642400 is about 826.0402671754.

Adding to 563642400 its reverse (4246365), we get a palindrome (567888765).

The spelling of 563642400 in words is "five hundred sixty-three million, six hundred forty-two thousand, four hundred".