556466240 has 112 divisors (see below), whose sum is σ = 1459382400. Its totient is φ = 200417280.

The previous prime is 556466237. The next prime is 556466249. The reversal of 556466240 is 42664655.

It is a junction number, because it is equal to n+sod(n) for n = 556466194 and 556466203.

It is not an unprimeable number, because it can be changed into a prime (556466249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 397061 + ... + 398459.

It is an arithmetic number, because the mean of its divisors is an integer number (13030200).

Almost surely, 2^556466240 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 556466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729691200).

556466240 is an abundant number, since it is smaller than the sum of its proper divisors (902916160).

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

556466240 is a wasteful number, since it uses less digits than its factorization.

556466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The square root of 556466240 is about 23589.5366635294. The cubic root of 556466240 is about 822.5196344201.

The spelling of 556466240 in words is "five hundred fifty-six million, four hundred sixty-six thousand, two hundred forty".