557352 has 24 divisors (see below), whose sum is σ = 1509690. Its totient is φ = 185760.

The previous prime is 557339. The next prime is 557369. The reversal of 557352 is 253755.

It can be written as a sum of positive squares in only one way, i.e., 527076 + 30276 = 726^2 + 174^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

557352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3799 + ... + 3942.

2⁵⁵⁷³⁵² is an apocalyptic number.

It is an amenable number.

557352 is an abundant number, since it is smaller than the sum of its proper divisors (952338).

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

557352 is a wasteful number, since it uses less digits than its factorization.

557352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7746 counting only the distinct ones).

The product of its digits is 5250, while the sum is 27.

The square root of 557352 is about 746.5601114445. The cubic root of 557352 is about 82.2955820673.

It can be divided in two parts, 5573 and 52, that added together give a square (5625 = 75²).

The spelling of 557352 in words is "five hundred fifty-seven thousand, three hundred fifty-two".