563451840 has 336 divisors, whose sum is σ = 2333061120. Its totient is φ = 121927680.

The previous prime is 563451827. The next prime is 563451841. The reversal of 563451840 is 48154365.

It is a happy number.

563451840 is a `hidden beast` number, since 5 + 634 + 5 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a junction number, because it is equal to n+sod(n) for n = 563451795 and 563451804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563451841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382305 + ... + 383775.

Almost surely, 2^563451840 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 563451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166530560).

563451840 is an abundant number, since it is smaller than the sum of its proper divisors (1769609280).

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

563451840 is a wasteful number, since it uses less digits than its factorization.

563451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 563451840 is about 23737.1405186050. The cubic root of 563451840 is about 825.9471656059.

It can be divided in two parts, 56345 and 1840, that added together give a palindrome (58185).

The spelling of 563451840 in words is "five hundred sixty-three million, four hundred fifty-one thousand, eight hundred forty".