563378400 has 324 divisors, whose sum is σ = 2155830768. Its totient is φ = 138378240.

The previous prime is 563378383. The next prime is 563378401. The reversal of 563378400 is 4873365.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563378401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1216569 + ... + 1217031.

Almost surely, 2^563378400 is an apocalyptic number.

563378400 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 563378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077915384).

563378400 is an abundant number, since it is smaller than the sum of its proper divisors (1592452368).

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

563378400 is a wasteful number, since it uses less digits than its factorization.

563378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 563378400 is about 23735.5935253366. The cubic root of 563378400 is about 825.9112795484.

The spelling of 563378400 in words is "five hundred sixty-three million, three hundred seventy-eight thousand, four hundred".