561008448 has 504 divisors, whose sum is σ = 2213396640. Its totient is φ = 133539840.

The previous prime is 561008411. The next prime is 561008471. The reversal of 561008448 is 844800165.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4035963 + ... + 4036101.

It is an arithmetic number, because the mean of its divisors is an integer number (4391660).

Almost surely, 2^561008448 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 561008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106698320).

561008448 is an abundant number, since it is smaller than the sum of its proper divisors (1652388192).

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

561008448 is a wasteful number, since it uses less digits than its factorization.

561008448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 561008448 is about 23685.6169014024. The cubic root of 561008448 is about 824.7515373000.

The spelling of 561008448 in words is "five hundred sixty-one million, eight thousand, four hundred forty-eight".