563846400 has 432 divisors, whose sum is σ = 2235481920. Its totient is φ = 138240000.

The previous prime is 563846399. The next prime is 563846419. The reversal of 563846400 is 4648365.

563846400 is a `hidden beast` number, since 5 + 6 + 3 + 8 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2246275 + ... + 2246525.

Almost surely, 2^563846400 is an apocalyptic number.

563846400 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 563846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117740960).

563846400 is an abundant number, since it is smaller than the sum of its proper divisors (1671635520).

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

563846400 is a wasteful number, since it uses less digits than its factorization.

563846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 563846400 is about 23745.4500904910. The cubic root of 563846400 is about 826.1399118488.

The spelling of 563846400 in words is "five hundred sixty-three million, eight hundred forty-six thousand, four hundred".