557920 has 48 divisors (see below), whose sum is σ = 1442448. Its totient is φ = 202240.

The previous prime is 557903. The next prime is 557927. The reversal of 557920 is 29755.

It is a super-2 number, since 2×557920² = 622549452800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557927) 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, 1602 + ... + 1918.

It is an arithmetic number, because the mean of its divisors is an integer number (30051).

2⁵⁵⁷⁹²⁰ 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 557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721224).

557920 is an abundant number, since it is smaller than the sum of its proper divisors (884528).

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

557920 is a wasteful number, since it uses less digits than its factorization.

557920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 557920 is about 746.9404260046. The cubic root of 557920 is about 82.3235285120.

It can be divided in two parts, 55 and 7920, that multiplied together give a square (435600 = 660²).

The spelling of 557920 in words is "five hundred fifty-seven thousand, nine hundred twenty".