557504 has 28 divisors (see below), whose sum is σ = 1146048. Its totient is φ = 268800.

The previous prime is 557489. The next prime is 557519. The reversal of 557504 is 405755.

It is an interprime number because it is at equal distance from previous prime (557489) and next prime (557519).

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

557504 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 3 ways as a sum of consecutive naturals, for example, 1844 + ... + 2124.

2⁵⁵⁷⁵⁰⁴ 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 557504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573024).

557504 is an abundant number, since it is smaller than the sum of its proper divisors (588544).

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

557504 is a wasteful number, since it uses less digits than its factorization.

557504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 26.

The square root of 557504 is about 746.6619047467. The cubic root of 557504 is about 82.3030625533.

The spelling of 557504 in words is "five hundred fifty-seven thousand, five hundred four".