506429 has 8 divisors (see below), whose sum is σ = 631488. Its totient is φ = 394560.

The previous prime is 506423. The next prime is 506449. The reversal of 506429 is 924605.

506429 = 53² + 54² + ... + 118².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 506429 - 2⁸ = 506173 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506398 and 506407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506429.

It is not an unprimeable number, because it can be changed into a prime (506423) 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 7 ways as a sum of consecutive naturals, for example, 3212 + ... + 3365.

It is an arithmetic number, because the mean of its divisors is an integer number (78936).

2⁵⁰⁶⁴²⁹ is an apocalyptic number.

It is an amenable number.

506429 is a deficient number, since it is larger than the sum of its proper divisors (125059).

506429 is a wasteful number, since it uses less digits than its factorization.

506429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 506429 is about 711.6382507988. The cubic root of 506429 is about 79.7087849588.

The spelling of 506429 in words is "five hundred six thousand, four hundred twenty-nine".