520348416 has 144 divisors (see below), whose sum is σ = 1595693568. Its totient is φ = 147456000.

The previous prime is 520348399. The next prime is 520348441. The reversal of 520348416 is 614843025.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811456 + ... + 812096.

Almost surely, 2^520348416 is an apocalyptic number.

520348416 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 520348416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797846784).

520348416 is an abundant number, since it is smaller than the sum of its proper divisors (1075345152).

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

520348416 is a wasteful number, since it uses less digits than its factorization.

520348416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 520348416 is about 22811.1467489033. The cubic root of 520348416 is about 804.3247122849.

The spelling of 520348416 in words is "five hundred twenty million, three hundred forty-eight thousand, four hundred sixteen".