557199360 has 156 divisors (see below), whose sum is σ = 1932027552. Its totient is φ = 148537344.

The previous prime is 557199353. The next prime is 557199371. The reversal of 557199360 is 63991755.

557199360 is a `hidden beast` number, since 557 + 1 + 9 + 93 + 6 + 0 = 666.

It is a super-2 number, since 2×557199360² = 620942253568819200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182809 + ... + 185831.

It is an arithmetic number, because the mean of its divisors is an integer number (12384792).

Almost surely, 2^557199360 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 557199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966013776).

557199360 is an abundant number, since it is smaller than the sum of its proper divisors (1374828192).

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

557199360 is a wasteful number, since it uses less digits than its factorization.

557199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3033 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 557199360 is about 23605.0706417075. The cubic root of 557199360 is about 822.8806871570.

The spelling of 557199360 in words is "five hundred fifty-seven million, one hundred ninety-nine thousand, three hundred sixty".