557280 has 120 divisors (see below), whose sum is σ = 2012472. Its totient is φ = 145152.

The previous prime is 557273. The next prime is 557281. The reversal of 557280 is 82755.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (557281) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 12939 + ... + 12981.

2⁵⁵⁷²⁸⁰ 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 557280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006236).

557280 is an abundant number, since it is smaller than the sum of its proper divisors (1455192).

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

557280 is a wasteful number, since it uses less digits than its factorization.

557280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 557280 is about 746.5118887198. The cubic root of 557280 is about 82.2920382045.

The spelling of 557280 in words is "five hundred fifty-seven thousand, two hundred eighty".