557938368 has 280 divisors, whose sum is σ = 1889772192. Its totient is φ = 161243136.

The previous prime is 557938361. The next prime is 557938411. The reversal of 557938368 is 863839755.

It is a happy number.

557938368 is a `hidden beast` number, since 5 + 579 + 3 + 8 + 3 + 68 = 666.

It is a super-2 number, since 2×557938368² = 622590444973006848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (557938361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1145421 + ... + 1145907.

Almost surely, 2^557938368 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 557938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944886096).

557938368 is an abundant number, since it is smaller than the sum of its proper divisors (1331833824).

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

557938368 is a wasteful number, since it uses less digits than its factorization.

557938368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 522 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 557938368 is about 23620.7190407066. The cubic root of 557938368 is about 823.2443192826.

The spelling of 557938368 in words is "five hundred fifty-seven million, nine hundred thirty-eight thousand, three hundred sixty-eight".