556358800 has 60 divisors (see below), whose sum is σ = 1339422580. Its totient is φ = 222082560.

The previous prime is 556358797. The next prime is 556358801. The reversal of 556358800 is 8853655.

It can be written as a sum of positive squares in 6 ways, for example, as 283316224 + 273042576 = 16832^2 + 16524^2 .

It is a super-2 number, since 2×556358800² = 619070228674880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556358801) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 244066 + ... + 246334.

Almost surely, 2^556358800 is an apocalyptic number.

556358800 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 556358800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669711290).

556358800 is an abundant number, since it is smaller than the sum of its proper divisors (783063780).

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

556358800 is a wasteful number, since it uses less digits than its factorization.

556358800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2900 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 40.

The square root of 556358800 is about 23587.2592727515. The cubic root of 556358800 is about 822.4666948817.

The spelling of 556358800 in words is "five hundred fifty-six million, three hundred fifty-eight thousand, eight hundred".