557368344 has 256 divisors, whose sum is σ = 1817088000. Its totient is φ = 156764160.

The previous prime is 557368337. The next prime is 557368349. The reversal of 557368344 is 443863755.

557368344 is a `hidden beast` number, since 557 + 3 + 68 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 557368344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557368349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1653744 + ... + 1654080.

It is an arithmetic number, because the mean of its divisors is an integer number (7098000).

Almost surely, 2^557368344 is an apocalyptic number.

557368344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557368344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908544000).

557368344 is an abundant number, since it is smaller than the sum of its proper divisors (1259719656).

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

557368344 is a wasteful number, since it uses less digits than its factorization.

557368344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 557368344 is about 23608.6497707938. The cubic root of 557368344 is about 822.9638648161.

The spelling of 557368344 in words is "five hundred fifty-seven million, three hundred sixty-eight thousand, three hundred forty-four".