1563481800 has 144 divisors (see below), whose sum is σ = 5271844500. Its totient is φ = 415249920.

The previous prime is 1563481771. The next prime is 1563481813. The reversal of 1563481800 is 81843651.

1563481800 is a `hidden beast` number, since 1 + 5 + 634 + 8 + 18 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 117809316 + 1445672484 = 10854^2 + 38022^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 482586 + ... + 485814.

Almost surely, 2^1563481800 is an apocalyptic number.

1563481800 is a gapful number since it is divisible by the number (10) 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 1563481800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635922250).

1563481800 is an abundant number, since it is smaller than the sum of its proper divisors (3708362700).

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

1563481800 is a wasteful number, since it uses less digits than its factorization.

1563481800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3520 (or 3508 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1563481800 is about 39540.8876986848. The cubic root of 1563481800 is about 1160.6402034837.

It can be divided in two parts, 156 and 3481800, that added together give a square (3481956 = 1866²).

The spelling of 1563481800 in words is "one billion, five hundred sixty-three million, four hundred eighty-one thousand, eight hundred".