420329 has 16 divisors (see below), whose sum is σ = 537600. Its totient is φ = 319680.

The previous prime is 420323. The next prime is 420331. The reversal of 420329 is 923024.

It is a cyclic number.

It is not a de Polignac number, because 420329 - 2⁴ = 420313 is a prime.

It is a plaindrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 420329.

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 420329.

It is not an unprimeable number, because it can be changed into a prime (420323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2747 + ... + 2895.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2⁴²⁰³²⁹ is an apocalyptic number.

It is an amenable number.

420329 is a deficient number, since it is larger than the sum of its proper divisors (117271).

420329 is a wasteful number, since it uses less digits than its factorization.

420329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200.

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 420329 is about 648.3278491628. The cubic root of 420329 is about 74.9082730465.

The spelling of 420329 in words is "four hundred twenty thousand, three hundred twenty-nine".