557220 has 48 divisors (see below), whose sum is σ = 1608768. Its totient is φ = 144000.

The previous prime is 557201. The next prime is 557261. The reversal of 557220 is 22755.

It is a congruent number.

It is an unprimeable number.

557220 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095 + ... + 2345.

It is an arithmetic number, because the mean of its divisors is an integer number (33516).

2⁵⁵⁷²²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384).

557220 is an abundant number, since it is smaller than the sum of its proper divisors (1051548).

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

557220 is a wasteful number, since it uses less digits than its factorization.

557220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 557220 is about 746.4717007362. The cubic root of 557220 is about 82.2890847523.

Adding to 557220 its reverse (22755), we get a palindrome (579975).

It can be divided in two parts, 557 and 220, that added together give a palindrome (777).

The spelling of 557220 in words is "five hundred fifty-seven thousand, two hundred twenty".