563250400 has 72 divisors (see below), whose sum is σ = 1379677320. Its totient is φ = 224540160.

The previous prime is 563250361. The next prime is 563250449. The reversal of 563250400 is 4052365.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 276586 + ... + 278614.

It is an arithmetic number, because the mean of its divisors is an integer number (19162185).

Almost surely, 2^563250400 is an apocalyptic number.

563250400 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 563250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689838660).

563250400 is an abundant number, since it is smaller than the sum of its proper divisors (816426920).

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

563250400 is a wasteful number, since it uses less digits than its factorization.

563250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 563250400 is about 23732.8969997344. The cubic root of 563250400 is about 825.8487255876.

The spelling of 563250400 in words is "five hundred sixty-three million, two hundred fifty thousand, four hundred".