557232 has 80 divisors (see below), whose sum is σ = 1666560. Its totient is φ = 158976.

The previous prime is 557201. The next prime is 557261. The reversal of 557232 is 232755.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (2100) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is an unprimeable 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, 11833 + ... + 11879.

It is an arithmetic number, because the mean of its divisors is an integer number (20832).

2⁵⁵⁷²³² is an apocalyptic number.

557232 is a gapful number since it is divisible by the number (52) 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 557232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833280).

557232 is an abundant number, since it is smaller than the sum of its proper divisors (1109328).

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

557232 is a wasteful number, since it uses less digits than its factorization.

557232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 84 counting only the distinct ones).

The product of its digits is 2100, while the sum is 24.

The square root of 557232 is about 746.4797385060. The cubic root of 557232 is about 82.2896754597.

Adding to 557232 its reverse (232755), we get a palindrome (789987).

The spelling of 557232 in words is "five hundred fifty-seven thousand, two hundred thirty-two".