516460 has 72 divisors (see below), whose sum is σ = 1378944. Its totient is φ = 161280.

The previous prime is 516457. The next prime is 516469. The reversal of 516460 is 64615.

516460 = T₁₂₀ + T₁₂₁ + ... + T₁₆₈.

516460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (516469) 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, 16645 + ... + 16675.

It is an arithmetic number, because the mean of its divisors is an integer number (19152).

2⁵¹⁶⁴⁶⁰ 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 516460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472).

516460 is an abundant number, since it is smaller than the sum of its proper divisors (862484).

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

516460 is a wasteful number, since it uses less digits than its factorization.

516460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 516460 is about 718.6515149918. The cubic root of 516460 is about 80.2316204192.

The spelling of 516460 in words is "five hundred sixteen thousand, four hundred sixty".