556488100 has 81 divisors (see below), whose sum is σ = 1408915683. Its totient is φ = 190229760.

The previous prime is 556488089. The next prime is 556488139. The reversal of 556488100 is 1884655.

The square root of 556488100 is 23590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 77053284 + 479434816 = 8778^2 + 21896^2 .

It is a super-2 number, since 2×556488100² = 619358010883220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 556488100.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1651132 + ... + 1651468.

Almost surely, 2^556488100 is an apocalyptic number.

556488100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

556488100 is the 23590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556488100

556488100 is an abundant number, since it is smaller than the sum of its proper divisors (852427583).

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

556488100 is a wasteful number, since it uses less digits than its factorization.

556488100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 37.

The cubic root of 556488100 is about 822.5304047912.

The spelling of 556488100 in words is "five hundred fifty-six million, four hundred eighty-eight thousand, one hundred".