1563320304 has 720 divisors, whose sum is σ = 6208531200. Its totient is φ = 373621248.

The previous prime is 1563320303. The next prime is 1563320329. The reversal of 1563320304 is 4030233651.

It is a happy number.

1563320304 is a `hidden beast` number, since 1 + 5 + 633 + 20 + 3 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1563320303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67970437 + ... + 67970459.

It is an arithmetic number, because the mean of its divisors is an integer number (8622960).

Almost surely, 2^1563320304 is an apocalyptic number.

1563320304 is a gapful number since it is divisible by the number (14) 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 1563320304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104265600).

1563320304 is an abundant number, since it is smaller than the sum of its proper divisors (4645210896).

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

1563320304 is a wasteful number, since it uses less digits than its factorization.

1563320304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 1563320304 is about 39538.8455066660. The cubic root of 1563320304 is about 1160.6002402844.

Adding to 1563320304 its reverse (4030233651), we get a palindrome (5593553955).

It can be divided in two parts, 15633 and 20304, that added together give a cube (35937 = 33³).

The spelling of 1563320304 in words is "one billion, five hundred sixty-three million, three hundred twenty thousand, three hundred four".