506829427 has 16 divisors (see below), whose sum is σ = 576444960. Its totient is φ = 441752832.

The previous prime is 506829383. The next prime is 506829439. The reversal of 506829427 is 724928605.

It is a cyclic number.

It is not a de Polignac number, because 506829427 - 2²³ = 498440819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506829227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75063 + ... + 81535.

It is an arithmetic number, because the mean of its divisors is an integer number (36027810).

Almost surely, 2^506829427 is an apocalyptic number.

506829427 is a deficient number, since it is larger than the sum of its proper divisors (69615533).

506829427 is a wasteful number, since it uses less digits than its factorization.

506829427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6822.

The product of its (nonzero) digits is 241920, while the sum is 43.

The square root of 506829427 is about 22512.8724733207. The cubic root of 506829427 is about 797.2978766668.

The spelling of 506829427 in words is "five hundred six million, eight hundred twenty-nine thousand, four hundred twenty-seven".