520410144 has 96 divisors (see below), whose sum is σ = 1471647744. Its totient is φ = 160554240.

The previous prime is 520410119. The next prime is 520410157. The reversal of 520410144 is 441014025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 520410144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64647 + ... + 72249.

It is an arithmetic number, because the mean of its divisors is an integer number (15329664).

Almost surely, 2^520410144 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 520410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735823872).

520410144 is an abundant number, since it is smaller than the sum of its proper divisors (951237600).

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

520410144 is a wasteful number, since it uses less digits than its factorization.

520410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 7662 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 520410144 is about 22812.4997315068. The cubic root of 520410144 is about 804.3565162270.

Adding to 520410144 its reverse (441014025), we get a palindrome (961424169).

The spelling of 520410144 in words is "five hundred twenty million, four hundred ten thousand, one hundred forty-four".