520320416 has 144 divisors (see below), whose sum is σ = 1317580992. Its totient is φ = 199987200.

The previous prime is 520320413. The next prime is 520320457. The reversal of 520320416 is 614023025.

It is a junction number, because it is equal to n+sod(n) for n = 520320391 and 520320400.

It is not an unprimeable number, because it can be changed into a prime (520320413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1672901 + ... + 1673211.

It is an arithmetic number, because the mean of its divisors is an integer number (9149868).

Almost surely, 2^520320416 is an apocalyptic number.

520320416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 520320416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658790496).

520320416 is an abundant number, since it is smaller than the sum of its proper divisors (797260576).

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

520320416 is a wasteful number, since it uses less digits than its factorization.

520320416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 520320416 is about 22810.5330056095. The cubic root of 520320416 is about 804.3102850952.

The spelling of 520320416 in words is "five hundred twenty million, three hundred twenty thousand, four hundred sixteen".