557040 has 80 divisors (see below), whose sum is σ = 1892736. Its totient is φ = 134400.

The previous prime is 557033. The next prime is 557041. The reversal of 557040 is 40755.

557040 is a nontrivial binomial coefficient, being equal to C(1056, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 556998 and 557016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557041) by changing a digit.

557040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2535 + ... + 2745.

2⁵⁵⁷⁰⁴⁰ is an apocalyptic number.

557040 is the 1055-th triangular number and also the 528-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946368).

557040 is an abundant number, since it is smaller than the sum of its proper divisors (1335696).

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

557040 is a wasteful number, since it uses less digits than its factorization.

557040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 232 counting only the distinct ones).

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

The square root of 557040 is about 746.3511238017. The cubic root of 557040 is about 82.2802231234.

Adding to 557040 its reverse (40755), we get a palindrome (597795).

The spelling of 557040 in words is "five hundred fifty-seven thousand, forty".