516407 has 2 divisors, whose sum is σ = 516408. Its totient is φ = 516406.

The previous prime is 516391. The next prime is 516421. The reversal of 516407 is 704615.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 516407 - 2⁴ = 516391 is a prime.

It is equal to p₄₂₇₇₃ and since 516407 and 42773 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (516437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 258203 + 258204.

It is an arithmetic number, because the mean of its divisors is an integer number (258204).

2⁵¹⁶⁴⁰⁷ is an apocalyptic number.

516407 is a deficient number, since it is larger than the sum of its proper divisors (1).

516407 is an equidigital number, since it uses as much as digits as its factorization.

516407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 516407 is about 718.6146394278. The cubic root of 516407 is about 80.2288758238.

It can be divided in two parts, 516 and 407, that multiplied together give a palindrome (210012).

The spelling of 516407 in words is "five hundred sixteen thousand, four hundred seven".