520180416 has 168 divisors, whose sum is σ = 1804476960. Its totient is φ = 139862016.

The previous prime is 520180411. The next prime is 520180421. The reversal of 520180416 is 614081025.

It is an interprime number because it is at equal distance from previous prime (520180411) and next prime (520180421).

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 520180416.

It is not an unprimeable number, because it can be changed into a prime (520180411) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64750 + ... + 72338.

Almost surely, 2^520180416 is an apocalyptic number.

520180416 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 520180416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902238480).

520180416 is an abundant number, since it is smaller than the sum of its proper divisors (1284296544).

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

520180416 is a wasteful number, since it uses less digits than its factorization.

520180416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7631 (or 7618 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 520180416 is about 22807.4640414054. The cubic root of 520180416 is about 804.2381413820.

The spelling of 520180416 in words is "five hundred twenty million, one hundred eighty thousand, four hundred sixteen".