520144 has 40 divisors (see below), whose sum is σ = 1116000. Its totient is φ = 233856.

The previous prime is 520129. The next prime is 520151. The reversal of 520144 is 441025.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

520144 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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8787 + ... + 8845.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2⁵²⁰¹⁴⁴ 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 520144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558000).

520144 is an abundant number, since it is smaller than the sum of its proper divisors (595856).

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

520144 is a wasteful number, since it uses less digits than its factorization.

520144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 520144 is about 721.2100942167. The cubic root of 520144 is about 80.4219373650.

Adding to 520144 its reverse (441025), we get a palindrome (961169).

The spelling of 520144 in words is "five hundred twenty thousand, one hundred forty-four".