520413120 has 448 divisors, whose sum is σ = 1989734400. Its totient is φ = 127733760.

The previous prime is 520413119. The next prime is 520413121. The reversal of 520413120 is 21314025.

It is an interprime number because it is at equal distance from previous prime (520413119) and next prime (520413121).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 520413093 and 520413102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (520413121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7767327 + ... + 7767393.

Almost surely, 2^520413120 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 520413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994867200).

520413120 is an abundant number, since it is smaller than the sum of its proper divisors (1469321280).

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

520413120 is a wasteful number, since it uses less digits than its factorization.

520413120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 520413120 is about 22812.5649588116. The cubic root of 520413120 is about 804.3580494795.

Adding to 520413120 its reverse (21314025), we get a palindrome (541727145).

The spelling of 520413120 in words is "five hundred twenty million, four hundred thirteen thousand, one hundred twenty".