556432000 has 128 divisors (see below), whose sum is σ = 1403438400. Its totient is φ = 219366400.

The previous prime is 556431991. The next prime is 556432027. The reversal of 556432000 is 234655.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1327791 + ... + 1328209.

Almost surely, 2^556432000 is an apocalyptic number.

556432000 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 556432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701719200).

556432000 is an abundant number, since it is smaller than the sum of its proper divisors (847006400).

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

556432000 is an equidigital number, since it uses as much as digits as its factorization.

556432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 556432000 is about 23588.8109068685. The cubic root of 556432000 is about 822.5027638849.

Adding to 556432000 its reverse (234655), we get a palindrome (556666655).

The spelling of 556432000 in words is "five hundred fifty-six million, four hundred thirty-two thousand".