557840 has 40 divisors (see below), whose sum is σ = 1368960. Its totient is φ = 210816.

The previous prime is 557831. The next prime is 557857. The reversal of 557840 is 48755.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×557840² = 622370931200, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

557840 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 7 ways as a sum of consecutive naturals, for example, 1337 + ... + 1703.

It is an arithmetic number, because the mean of its divisors is an integer number (34224).

2⁵⁵⁷⁸⁴⁰ 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 557840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684480).

557840 is an abundant number, since it is smaller than the sum of its proper divisors (811120).

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

557840 is a wasteful number, since it uses less digits than its factorization.

557840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 557840 is about 746.8868722906. The cubic root of 557840 is about 82.3195935410.

The spelling of 557840 in words is "five hundred fifty-seven thousand, eight hundred forty".