560352 has 48 divisors (see below), whose sum is σ = 1587600. Its totient is φ = 172032.

The previous prime is 560341. The next prime is 560353. The reversal of 560352 is 253065.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (560353) by changing a digit.

560352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1024 + ... + 1472.

It is an arithmetic number, because the mean of its divisors is an integer number (33075).

2⁵⁶⁰³⁵² is an apocalyptic number.

560352 is a gapful number since it is divisible by the number (52) 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 560352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793800).

560352 is an abundant number, since it is smaller than the sum of its proper divisors (1027248).

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

560352 is a wasteful number, since it uses less digits than its factorization.

560352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 560352 is about 748.5666303009. The cubic root of 560352 is about 82.4429725269.

The spelling of 560352 in words is "five hundred sixty thousand, three hundred fifty-two".