557468160 has 160 divisors (see below), whose sum is σ = 1844346240. Its totient is φ = 143474688.

The previous prime is 557468141. The next prime is 557468179. The reversal of 557468160 is 61864755.

It is an interprime number because it is at equal distance from previous prime (557468141) and next prime (557468179).

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221469 + ... + 223971.

It is an arithmetic number, because the mean of its divisors is an integer number (11527164).

Almost surely, 2^557468160 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 557468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922173120).

557468160 is an abundant number, since it is smaller than the sum of its proper divisors (1286878080).

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

557468160 is a wasteful number, since it uses less digits than its factorization.

557468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 557468160 is about 23610.7636471165. The cubic root of 557468160 is about 823.0129885592.

The spelling of 557468160 in words is "five hundred fifty-seven million, four hundred sixty-eight thousand, one hundred sixty".