556005000 has 160 divisors (see below), whose sum is σ = 1758936960. Its totient is φ = 146400000.

The previous prime is 556004993. The next prime is 556005001. The reversal of 556005000 is 500655.

It is not an unprimeable number, because it can be changed into a prime (556005001) 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 39 ways as a sum of consecutive naturals, for example, 1514817 + ... + 1515183.

It is an arithmetic number, because the mean of its divisors is an integer number (10993356).

Almost surely, 2^556005000 is an apocalyptic number.

556005000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879468480).

556005000 is an abundant number, since it is smaller than the sum of its proper divisors (1202931960).

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

556005000 is a wasteful number, since it uses less digits than its factorization.

556005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 556005000 is about 23579.7582684810. The cubic root of 556005000 is about 822.2923167524.

Adding to 556005000 its reverse (500655), we get a palindrome (556505655).

The spelling of 556005000 in words is "five hundred fifty-six million, five thousand".