545824 has 24 divisors (see below), whose sum is σ = 1106028. Its totient is φ = 264960.

The previous prime is 545791. The next prime is 545827. The reversal of 545824 is 428545.

It can be written as a sum of positive squares in 2 ways, for example, as 535824 + 10000 = 732^2 + 100^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 545792 and 545801.

It is not an unprimeable number, because it can be changed into a prime (545827) by changing a digit.

545824 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 3 ways as a sum of consecutive naturals, for example, 954 + ... + 1414.

2⁵⁴⁵⁸²⁴ 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 545824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553014).

545824 is an abundant number, since it is smaller than the sum of its proper divisors (560204).

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

545824 is a wasteful number, since it uses less digits than its factorization.

545824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 500 counting only the distinct ones).

The product of its digits is 6400, while the sum is 28.

The square root of 545824 is about 738.7990254460. The cubic root of 545824 is about 81.7242372535.

It can be divided in two parts, 545 and 824, that added together give a square (1369 = 37²).

The spelling of 545824 in words is "five hundred forty-five thousand, eight hundred twenty-four".