520416 has 72 divisors (see below), whose sum is σ = 1605240. Its totient is φ = 158976.

The previous prime is 520411. The next prime is 520423. The reversal of 520416 is 614025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 520416.

It is not an unprimeable number, because it can be changed into a prime (520411) by changing a digit.

520416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3675 + ... + 3813.

It is an arithmetic number, because the mean of its divisors is an integer number (22295).

2⁵²⁰⁴¹⁶ 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 520416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802620).

520416 is an abundant number, since it is smaller than the sum of its proper divisors (1084824).

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

520416 is a wasteful number, since it uses less digits than its factorization.

520416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 157 counting only the distinct ones).

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

The square root of 520416 is about 721.3986415291. The cubic root of 520416 is about 80.4359533267.

The spelling of 520416 in words is "five hundred twenty thousand, four hundred sixteen".