556349760 has 336 divisors, whose sum is σ = 2059814016. Its totient is φ = 137465856.

The previous prime is 556349741. The next prime is 556349767. The reversal of 556349760 is 67943655.

556349760 is a `hidden beast` number, since 5 + 5 + 634 + 9 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556349767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2450767 + ... + 2450993.

Almost surely, 2^556349760 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 556349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029907008).

556349760 is an abundant number, since it is smaller than the sum of its proper divisors (1503464256).

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

556349760 is a wasteful number, since it uses less digits than its factorization.

556349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 556349760 is about 23587.0676430963. The cubic root of 556349760 is about 822.4622402389.

The spelling of 556349760 in words is "five hundred fifty-six million, three hundred forty-nine thousand, seven hundred sixty".