557872 has 40 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 224256.

The previous prime is 557863. The next prime is 557891. The reversal of 557872 is 278755.

It is a super-2 number, since 2×557872² = 622442336768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 5 + 5³ + 8⁵ + 7³ + 7³ + 2¹⁹ .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1758 + ... + 2050.

2⁵⁵⁷⁸⁷² 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 557872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

557872 is an abundant number, since it is smaller than the sum of its proper divisors (754544).

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

557872 is a wasteful number, since it uses less digits than its factorization.

557872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its digits is 19600, while the sum is 34.

The square root of 557872 is about 746.9082942370. The cubic root of 557872 is about 82.3211675745.

The spelling of 557872 in words is "five hundred fifty-seven thousand, eight hundred seventy-two".