516408 has 16 divisors (see below), whose sum is σ = 1291080. Its totient is φ = 172128.

The previous prime is 516407. The next prime is 516421. The reversal of 516408 is 804615.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 21517 = 516408 / (5 + 1 + 6 + 4 + 0 + 8).

It is an Ulam 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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10735 + ... + 10782.

2⁵¹⁶⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

516408 is an abundant number, since it is smaller than the sum of its proper divisors (774672).

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

516408 is a wasteful number, since it uses less digits than its factorization.

516408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21526 (or 21522 counting only the distinct ones).

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

The square root of 516408 is about 718.6153352107. The cubic root of 516408 is about 80.2289276103.

The spelling of 516408 in words is "five hundred sixteen thousand, four hundred eight".