553600 has 48 divisors (see below), whose sum is σ = 1375470. Its totient is φ = 220160.

The previous prime is 553591. The next prime is 553601. The reversal of 553600 is 6355.

It can be written as a sum of positive squares in 3 ways, for example, as 506944 + 46656 = 712^2 + 216^2 .

It is not an unprimeable number, because it can be changed into a prime (553601) by changing a digit.

553600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3114 + ... + 3286.

2⁵⁵³⁶⁰⁰ is an apocalyptic number.

553600 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 553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687735).

553600 is an abundant number, since it is smaller than the sum of its proper divisors (821870).

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

553600 is a wasteful number, since it uses less digits than its factorization.

553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 19.

The square root of 553600 is about 744.0430095095. The cubic root of 553600 is about 82.1104994527.

Adding to 553600 its reverse (6355), we get a palindrome (559955).

It can be divided in two parts, 55 and 3600, that added together give a triangular number (3655 = T₈₅).

The spelling of 553600 in words is "five hundred fifty-three thousand, six hundred".