556300240 has 80 divisors (see below), whose sum is σ = 1371787200. Its totient is φ = 209212416.

The previous prime is 556300237. The next prime is 556300247. The reversal of 556300240 is 42003655.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556300247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209964 + ... + 212596.

It is an arithmetic number, because the mean of its divisors is an integer number (17147340).

Almost surely, 2^556300240 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 556300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685893600).

556300240 is an abundant number, since it is smaller than the sum of its proper divisors (815486960).

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

556300240 is a wasteful number, since it uses less digits than its factorization.

556300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2798 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 556300240 is about 23586.0178919630. The cubic root of 556300240 is about 822.4378374013.

Adding to 556300240 its reverse (42003655), we get a palindrome (598303895).

The spelling of 556300240 in words is "five hundred fifty-six million, three hundred thousand, two hundred forty".