563331456 has 256 divisors, whose sum is σ = 1831104000. Its totient is φ = 169703424.

The previous prime is 563331449. The next prime is 563331481. The reversal of 563331456 is 654133365.

563331456 is a `hidden beast` number, since 5 + 633 + 3 + 14 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 563331456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1510086 + ... + 1510458.

It is an arithmetic number, because the mean of its divisors is an integer number (7152750).

Almost surely, 2^563331456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563331456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915552000).

563331456 is an abundant number, since it is smaller than the sum of its proper divisors (1267772544).

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

563331456 is a wasteful number, since it uses less digits than its factorization.

563331456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 563331456 is about 23734.6046101468. The cubic root of 563331456 is about 825.8883389837. Note that the first 3 decimals are identical.

The spelling of 563331456 in words is "five hundred sixty-three million, three hundred thirty-one thousand, four hundred fifty-six".