556245900 has 288 divisors, whose sum is σ = 2152640000. Its totient is φ = 120372480.

The previous prime is 556245847. The next prime is 556245953. The reversal of 556245900 is 9542655.

556245900 is a `hidden beast` number, since 5 + 5 + 62 + 4 + 590 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (556245847) and next prime (556245953).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 358326 + ... + 359874.

Almost surely, 2^556245900 is an apocalyptic number.

556245900 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 556245900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076320000).

556245900 is an abundant number, since it is smaller than the sum of its proper divisors (1596394100).

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

556245900 is a wasteful number, since it uses less digits than its factorization.

556245900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 556245900 is about 23584.8659101552. The cubic root of 556245900 is about 822.4110576613.

The spelling of 556245900 in words is "five hundred fifty-six million, two hundred forty-five thousand, nine hundred".