556859520 has 288 divisors, whose sum is σ = 2237983020. Its totient is φ = 127217664.

The previous prime is 556859507. The next prime is 556859587. The reversal of 556859520 is 25958655.

556859520 is a `hidden beast` number, since 5 + 56 + 8 + 595 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 529736256 + 27123264 = 23016^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 281254 + ... + 283226.

Almost surely, 2^556859520 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 556859520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118991510).

556859520 is an abundant number, since it is smaller than the sum of its proper divisors (1681123500).

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

556859520 is a wasteful number, since it uses less digits than its factorization.

556859520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2012 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The square root of 556859520 is about 23597.8710904183. The cubic root of 556859520 is about 822.7133594672.

The spelling of 556859520 in words is "five hundred fifty-six million, eight hundred fifty-nine thousand, five hundred twenty".