557256 has 64 divisors (see below), whose sum is σ = 1658880. Its totient is φ = 152640.

The previous prime is 557201. The next prime is 557261. The reversal of 557256 is 652755.

Its product of digits (10500) is a multiple of the sum of its prime divisors (150).

It is a congruent number.

It is an unprimeable number.

557256 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, 5155 + ... + 5261.

It is an arithmetic number, because the mean of its divisors is an integer number (25920).

2⁵⁵⁷²⁵⁶ is an apocalyptic number.

557256 is a gapful number since it is divisible by the number (56) 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 557256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829440).

557256 is an abundant number, since it is smaller than the sum of its proper divisors (1101624).

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

557256 is a wasteful number, since it uses less digits than its factorization.

557256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 150 counting only the distinct ones).

The product of its digits is 10500, while the sum is 30.

The square root of 557256 is about 746.4958137860. The cubic root of 557256 is about 82.2908568490.

The spelling of 557256 in words is "five hundred fifty-seven thousand, two hundred fifty-six".