557460 has 72 divisors (see below), whose sum is σ = 1790880. Its totient is φ = 139968.

The previous prime is 557449. The next prime is 557461. The reversal of 557460 is 64755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3339 + ... + 3501.

2⁵⁵⁷⁴⁶⁰ 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 557460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (895440).

557460 is an abundant number, since it is smaller than the sum of its proper divisors (1233420).

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

557460 is a wasteful number, since it uses less digits than its factorization.

557460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 557460 is about 746.6324396917. The cubic root of 557460 is about 82.3008972893.

The spelling of 557460 in words is "five hundred fifty-seven thousand, four hundred sixty".