561768480 has 384 divisors, whose sum is σ = 2421619200. Its totient is φ = 118444032.

The previous prime is 561768463. The next prime is 561768499. The reversal of 561768480 is 84867165.

It is a happy number.

561768480 is a `hidden beast` number, since 561 + 7 + 6 + 8 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 392406 + ... + 393834.

It is an arithmetic number, because the mean of its divisors is an integer number (6306300).

Almost surely, 2^561768480 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 561768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210809600).

561768480 is an abundant number, since it is smaller than the sum of its proper divisors (1859850720).

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

561768480 is a wasteful number, since it uses less digits than its factorization.

561768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 561768480 is about 23701.6556383726. The cubic root of 561768480 is about 825.1238161275.

The spelling of 561768480 in words is "five hundred sixty-one million, seven hundred sixty-eight thousand, four hundred eighty".