561512448 has 240 divisors, whose sum is σ = 1962932400. Its totient is φ = 150994944.

The previous prime is 561512443. The next prime is 561512459. The reversal of 561512448 is 844215165.

It is a happy number.

561512448 is a `hidden beast` number, since 561 + 51 + 2 + 4 + 48 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561512443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33030136 + ... + 33030152.

It is an arithmetic number, because the mean of its divisors is an integer number (8178885).

Almost surely, 2^561512448 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 561512448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981466200).

561512448 is an abundant number, since it is smaller than the sum of its proper divisors (1401419952).

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

561512448 is an frugal number, since it uses more digits than its factorization.

561512448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 29 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 561512448 is about 23696.2538811518. The cubic root of 561512448 is about 824.9984440742.

The spelling of 561512448 in words is "five hundred sixty-one million, five hundred twelve thousand, four hundred forty-eight".