556676352 has 216 divisors, whose sum is σ = 1687428288. Its totient is φ = 176332800.

The previous prime is 556676317. The next prime is 556676357. The reversal of 556676352 is 253676655.

556676352 is a `hidden beast` number, since 5 + 5 + 6 + 6 + 7 + 635 + 2 = 666.

Its product of digits (1134000) is a multiple of the sum of its prime divisors (200).

It is a junction number, because it is equal to n+sod(n) for n = 556676298 and 556676307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556676357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6706903 + ... + 6706985.

It is an arithmetic number, because the mean of its divisors is an integer number (7812168).

Almost surely, 2^556676352 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 556676352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843714144).

556676352 is an abundant number, since it is smaller than the sum of its proper divisors (1130751936).

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

556676352 is a wasteful number, since it uses less digits than its factorization.

556676352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its digits is 1134000, while the sum is 45.

The square root of 556676352 is about 23593.9897431528. The cubic root of 556676352 is about 822.6231444423.

It can be divided in two parts, 5566 and 76352, that added together give a palindrome (81918).

The spelling of 556676352 in words is "five hundred fifty-six million, six hundred seventy-six thousand, three hundred fifty-two".