560219352 has 288 divisors, whose sum is σ = 1863106560. Its totient is φ = 139708800.

The previous prime is 560219347. The next prime is 560219353. The reversal of 560219352 is 253912065.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560219353) by changing a digit.

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, 4411113 + ... + 4411239.

It is an arithmetic number, because the mean of its divisors is an integer number (6469120).

Almost surely, 2^560219352 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 560219352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931553280).

560219352 is an abundant number, since it is smaller than the sum of its proper divisors (1302887208).

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

560219352 is a wasteful number, since it uses less digits than its factorization.

560219352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 560219352 is about 23668.9533355406. The cubic root of 560219352 is about 824.3646664099.

It can be divided in two parts, 560 and 219352, that added together give a palindrome (219912).

The spelling of 560219352 in words is "five hundred sixty million, two hundred nineteen thousand, three hundred fifty-two".