557343360 has 384 divisors, whose sum is σ = 2298965760. Its totient is φ = 121651200.

The previous prime is 557343329. The next prime is 557343379. The reversal of 557343360 is 63343755.

557343360 = 1780² + 1781² + ... + 1940².

557343360 is a `hidden beast` number, since 557 + 3 + 43 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927060 + ... + 927660.

It is an arithmetic number, because the mean of its divisors is an integer number (5986890).

Almost surely, 2^557343360 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 557343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149482880).

557343360 is an abundant number, since it is smaller than the sum of its proper divisors (1741622400).

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

557343360 is a wasteful number, since it uses less digits than its factorization.

557343360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 36.

The square root of 557343360 is about 23608.1206367640. The cubic root of 557343360 is about 822.9515681984.

The spelling of 557343360 in words is "five hundred fifty-seven million, three hundred forty-three thousand, three hundred sixty".