419329 has 2 divisors, whose sum is σ = 419330. Its totient is φ = 419328.

The previous prime is 419317. The next prime is 419351. The reversal of 419329 is 923914.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300304 + 119025 = 548^2 + 345^2 .

It is a cyclic number.

It is not a de Polignac number, because 419329 - 2⁵ = 419297 is a prime.

419329 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 419297 and 419306.

It is not a weakly prime, because it can be changed into another prime (419429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 209664 + 209665.

It is an arithmetic number, because the mean of its divisors is an integer number (209665).

2⁴¹⁹³²⁹ is an apocalyptic number.

It is an amenable number.

419329 is a deficient number, since it is larger than the sum of its proper divisors (1).

419329 is an equidigital number, since it uses as much as digits as its factorization.

419329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 28.

The square root of 419329 is about 647.5561751694. The cubic root of 419329 is about 74.8488213977.

The spelling of 419329 in words is "four hundred nineteen thousand, three hundred twenty-nine".