563054400 has 252 divisors, whose sum is σ = 2037208524. Its totient is φ = 147456000.

The previous prime is 563054383. The next prime is 563054411. The reversal of 563054400 is 4450365.

It can be written as a sum of positive squares in 6 ways, for example, as 24443136 + 538611264 = 4944^2 + 23208^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 878080 + ... + 878720.

Almost surely, 2^563054400 is an apocalyptic number.

563054400 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 563054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018604262).

563054400 is an abundant number, since it is smaller than the sum of its proper divisors (1474154124).

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

563054400 is a wasteful number, since it uses less digits than its factorization.

563054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 712 counting only the distinct ones).

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

The square root of 563054400 is about 23728.7673510446. The cubic root of 563054400 is about 825.7529214661.

The spelling of 563054400 in words is "five hundred sixty-three million, fifty-four thousand, four hundred".