561405760 has 56 divisors (see below), whose sum is σ = 1344707496. Its totient is φ = 223242240.

The previous prime is 561405703. The next prime is 561405791. The reversal of 561405760 is 67504165.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 80568576 + 480837184 = 8976^2 + 21928^2 .

It is a super-2 number, since 2×561405760² = 630352854722355200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50290 + ... + 60430.

Almost surely, 2^561405760 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 561405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672353748).

561405760 is an abundant number, since it is smaller than the sum of its proper divisors (783301736).

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

561405760 is a wasteful number, since it uses less digits than its factorization.

561405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10331 (or 10321 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 561405760 is about 23694.0026166961. The cubic root of 561405760 is about 824.9461905523.

The spelling of 561405760 in words is "five hundred sixty-one million, four hundred five thousand, seven hundred sixty".