556041000 has 128 divisors (see below), whose sum is σ = 1759305600. Its totient is φ = 146188800.

The previous prime is 556040999. The next prime is 556041001. The reversal of 556041000 is 140655.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (556040999) and next prime (556041001).

It is not an unprimeable number, because it can be changed into a prime (556041001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217731 + ... + 220269.

It is an arithmetic number, because the mean of its divisors is an integer number (13744575).

Almost surely, 2^556041000 is an apocalyptic number.

556041000 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 556041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879652800).

556041000 is an abundant number, since it is smaller than the sum of its proper divisors (1203264600).

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

556041000 is a wasteful number, since it uses less digits than its factorization.

556041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 556041000 is about 23580.5216227292. The cubic root of 556041000 is about 822.3100635260.

Adding to 556041000 its reverse (140655), we get a palindrome (556181655).

The spelling of 556041000 in words is "five hundred fifty-six million, forty-one thousand".