557214160 has 80 divisors (see below), whose sum is σ = 1316344320. Its totient is φ = 219340800.

The previous prime is 557214157. The next prime is 557214179. The reversal of 557214160 is 61412755.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2331321 + ... + 2331559.

It is an arithmetic number, because the mean of its divisors is an integer number (16454304).

Almost surely, 2^557214160 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 557214160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658172160).

557214160 is an abundant number, since it is smaller than the sum of its proper divisors (759130160).

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

557214160 is a wasteful number, since it uses less digits than its factorization.

557214160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 557214160 is about 23605.3841315917. The cubic root of 557214160 is about 822.8879727160.

The spelling of 557214160 in words is "five hundred fifty-seven million, two hundred fourteen thousand, one hundred sixty".