557368 has 32 divisors (see below), whose sum is σ = 1231200. Its totient is φ = 231552.

The previous prime is 557339. The next prime is 557369. The reversal of 557368 is 863755.

It is a happy number.

It is an Ulam number.

Its product of digits (25200) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1938 + ... + 2206.

It is an arithmetic number, because the mean of its divisors is an integer number (38475).

2⁵⁵⁷³⁶⁸ 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 557368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615600).

557368 is an abundant number, since it is smaller than the sum of its proper divisors (673832).

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

557368 is a wasteful number, since it uses less digits than its factorization.

557368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its digits is 25200, while the sum is 34.

The square root of 557368 is about 746.5708271825. The cubic root of 557368 is about 82.2963695509.

The spelling of 557368 in words is "five hundred fifty-seven thousand, three hundred sixty-eight".