414830329 has 2 divisors, whose sum is σ = 414830330. Its totient is φ = 414830328.

The previous prime is 414830309. The next prime is 414830393. The reversal of 414830329 is 923038414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 261565929 + 153264400 = 16173^2 + 12380^2 .

It is a cyclic number.

It is not a de Polignac number, because 414830329 - 2¹⁵ = 414797561 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 414830294 and 414830303.

It is not a weakly prime, because it can be changed into another prime (414830309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207415164 + 207415165.

It is an arithmetic number, because the mean of its divisors is an integer number (207415165).

Almost surely, 2^414830329 is an apocalyptic number.

It is an amenable number.

414830329 is a deficient number, since it is larger than the sum of its proper divisors (1).

414830329 is an equidigital number, since it uses as much as digits as its factorization.

414830329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 414830329 is about 20367.3839508171. The cubic root of 414830329 is about 745.8019255530.

The spelling of 414830329 in words is "four hundred fourteen million, eight hundred thirty thousand, three hundred twenty-nine".