556987200 has 504 divisors, whose sum is σ = 2312310336. Its totient is φ = 114892800.

The previous prime is 556987163. The next prime is 556987217. The reversal of 556987200 is 2789655.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4065532 + ... + 4065668.

Almost surely, 2^556987200 is an apocalyptic number.

556987200 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 556987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156155168).

556987200 is an abundant number, since it is smaller than the sum of its proper divisors (1755323136).

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

556987200 is a wasteful number, since it uses less digits than its factorization.

556987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 556987200 is about 23600.5762641508. The cubic root of 556987200 is about 822.7762335019.

The spelling of 556987200 in words is "five hundred fifty-six million, nine hundred eighty-seven thousand, two hundred".