516480 has 64 divisors (see below), whose sum is σ = 1652400. Its totient is φ = 137216.

The previous prime is 516469. The next prime is 516493. The reversal of 516480 is 84615.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 516480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1786 + ... + 2054.

2⁵¹⁶⁴⁸⁰ 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 516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826200).

516480 is an abundant number, since it is smaller than the sum of its proper divisors (1135920).

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

516480 is a wasteful number, since it uses less digits than its factorization.

516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 516480 is about 718.6654298072. The cubic root of 516480 is about 80.2326560669.

The spelling of 516480 in words is "five hundred sixteen thousand, four hundred eighty".