561244320 has 288 divisors, whose sum is σ = 2357776512. Its totient is φ = 118388736.

The previous prime is 561244309. The next prime is 561244339. The reversal of 561244320 is 23442165.

561244320 is a `hidden beast` number, since 5 + 612 + 4 + 43 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128899 + ... + 133181.

It is an arithmetic number, because the mean of its divisors is an integer number (8186724).

Almost surely, 2^561244320 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 561244320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178888256).

561244320 is an abundant number, since it is smaller than the sum of its proper divisors (1796532192).

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

561244320 is a wasteful number, since it uses less digits than its factorization.

561244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4324 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 561244320 is about 23690.5956024748. The cubic root of 561244320 is about 824.8671080714.

Adding to 561244320 its reverse (23442165), we get a palindrome (584686485).

The spelling of 561244320 in words is "five hundred sixty-one million, two hundred forty-four thousand, three hundred twenty".