563066400 has 144 divisors (see below), whose sum is σ = 1973873664. Its totient is φ = 138593280.

The previous prime is 563066389. The next prime is 563066419. The reversal of 563066400 is 4660365.

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

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 23 ways as a sum of consecutive naturals, for example, 22177 + ... + 40223.

It is an arithmetic number, because the mean of its divisors is an integer number (13707456).

Almost surely, 2^563066400 is an apocalyptic number.

563066400 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 563066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986936832).

563066400 is an abundant number, since it is smaller than the sum of its proper divisors (1410807264).

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

563066400 is a wasteful number, since it uses less digits than its factorization.

563066400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18083 (or 18070 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 563066400 is about 23729.0202073326. The cubic root of 563066400 is about 825.7587876634.

The spelling of 563066400 in words is "five hundred sixty-three million, sixty-six thousand, four hundred".