557940 has 48 divisors (see below), whose sum is σ = 1657152. Its totient is φ = 139776.

The previous prime is 557927. The next prime is 557981. The reversal of 557940 is 49755.

It is a super-2 number, since 2×557940² = 622594087200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 557898 and 557907.

It is a congruent number.

It is an unprimeable number.

557940 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, 747 + ... + 1293.

It is an arithmetic number, because the mean of its divisors is an integer number (34524).

2⁵⁵⁷⁹⁴⁰ 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 557940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828576).

557940 is an abundant number, since it is smaller than the sum of its proper divisors (1099212).

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

557940 is a wasteful number, since it uses less digits than its factorization.

557940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 557940 is about 746.9538138332. The cubic root of 557940 is about 82.3245121960.

The spelling of 557940 in words is "five hundred fifty-seven thousand, nine hundred forty".