516477 has 32 divisors (see below), whose sum is σ = 846720. Its totient is φ = 276480.

The previous prime is 516469. The next prime is 516493. The reversal of 516477 is 774615.

It is a happy number.

It is not a de Polignac number, because 516477 - 2³ = 516469 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12577 + ... + 12617.

It is an arithmetic number, because the mean of its divisors is an integer number (26460).

2⁵¹⁶⁴⁷⁷ is an apocalyptic number.

516477 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

516477 is a deficient number, since it is larger than the sum of its proper divisors (330243).

516477 is a wasteful number, since it uses less digits than its factorization.

516477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93.

The product of its digits is 5880, while the sum is 30.

The square root of 516477 is about 718.6633426021. The cubic root of 516477 is about 80.2325007214.

The spelling of 516477 in words is "five hundred sixteen thousand, four hundred seventy-seven".