556498800 has 720 divisors, whose sum is σ = 2417845248. Its totient is φ = 116582400.

The previous prime is 556498769. The next prime is 556498801. The reversal of 556498800 is 8894655.

556498800 is a `hidden beast` number, since 5 + 564 + 9 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556498801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11840377 + ... + 11840423.

Almost surely, 2^556498800 is an apocalyptic number.

556498800 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 556498800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208922624).

556498800 is an abundant number, since it is smaller than the sum of its proper divisors (1861346448).

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

556498800 is a wasteful number, since it uses less digits than its factorization.

556498800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 556498800 is about 23590.2267899230. The cubic root of 556498800 is about 822.5356765535.

The spelling of 556498800 in words is "five hundred fifty-six million, four hundred ninety-eight thousand, eight hundred".