561583440 has 480 divisors, whose sum is σ = 2252105856. Its totient is φ = 123863040.

The previous prime is 561583409. The next prime is 561583441. The reversal of 561583440 is 44385165.

It is a happy number.

561583440 is a `hidden beast` number, since 5 + 615 + 8 + 34 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 561583395 and 561583404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561583441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5789472 + ... + 5789568.

Almost surely, 2^561583440 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 561583440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126052928).

561583440 is an abundant number, since it is smaller than the sum of its proper divisors (1690522416).

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

561583440 is a wasteful number, since it uses less digits than its factorization.

561583440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 561583440 is about 23697.7517921004. The cubic root of 561583440 is about 825.0332107843.

The spelling of 561583440 in words is "five hundred sixty-one million, five hundred eighty-three thousand, four hundred forty".