561730000 has 200 divisors, whose sum is σ = 1525293000. Its totient is φ = 198912000.

The previous prime is 561729977. The next prime is 561730019. The reversal of 561730000 is 37165.

It can be written as a sum of positive squares in 20 ways, for example, as 515108416 + 46621584 = 22696^2 + 6828^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3769926 + ... + 3770074.

It is an arithmetic number, because the mean of its divisors is an integer number (7626465).

Almost surely, 2^561730000 is an apocalyptic number.

561730000 is a gapful number since it is divisible by the number (50) 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 561730000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762646500).

561730000 is an abundant number, since it is smaller than the sum of its proper divisors (963563000).

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

561730000 is a wasteful number, since it uses less digits than its factorization.

561730000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 561730000 is about 23700.8438668331. The cubic root of 561730000 is about 825.1049759287.

Adding to 561730000 its reverse (37165), we get a palindrome (561767165).

The spelling of 561730000 in words is "five hundred sixty-one million, seven hundred thirty thousand".