561302784 has 216 divisors, whose sum is σ = 1919561280. Its totient is φ = 160247808.

The previous prime is 561302773. The next prime is 561302827. The reversal of 561302784 is 487203165.

It is a tau number, because it is divible by the number of its divisors (216).

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 23 ways as a sum of consecutive naturals, for example, 434812 + ... + 436100.

Almost surely, 2^561302784 is an apocalyptic number.

561302784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561302784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959780640).

561302784 is an abundant number, since it is smaller than the sum of its proper divisors (1358258496).

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

561302784 is an equidigital number, since it uses as much as digits as its factorization.

561302784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 561302784 is about 23691.8294776912. The cubic root of 561302784 is about 824.8957488103.

The spelling of 561302784 in words is "five hundred sixty-one million, three hundred two thousand, seven hundred eighty-four".