561339240 has 256 divisors, whose sum is σ = 2128896000. Its totient is φ = 115015680.

The previous prime is 561339239. The next prime is 561339293. The reversal of 561339240 is 42933165.

561339240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 729576 + ... + 730344.

It is an arithmetic number, because the mean of its divisors is an integer number (8316000).

Almost surely, 2^561339240 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 561339240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064448000).

561339240 is an abundant number, since it is smaller than the sum of its proper divisors (1567556760).

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

561339240 is a wasteful number, since it uses less digits than its factorization.

561339240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 561339240 is about 23692.5988443649. The cubic root of 561339240 is about 824.9136071150.

The spelling of 561339240 in words is "five hundred sixty-one million, three hundred thirty-nine thousand, two hundred forty".