1563411600 has 135 divisors (see below), whose sum is σ = 5433717913. Its totient is φ = 416277120.

The previous prime is 1563411583. The next prime is 1563411601. The reversal of 1563411600 is 61143651.

The square root of 1563411600 is 39540.

It is a perfect power (a square), and thus also a powerful number.

1563411600 is a `hidden beast` number, since 1 + 56 + 3 + 4 + 1 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 562828176 + 1000583424 = 23724^2 + 31632^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1563411601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2372071 + ... + 2372729.

Almost surely, 2^1563411600 is an apocalyptic number.

1563411600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1563411600 is the 39540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1563411600

1563411600 is an abundant number, since it is smaller than the sum of its proper divisors (3870306313).

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

1563411600 is an equidigital number, since it uses as much as digits as its factorization.

1563411600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 1563411600 is about 1160.6228323910.

The spelling of 1563411600 in words is "one billion, five hundred sixty-three million, four hundred eleven thousand, six hundred".