414010319 has 2 divisors, whose sum is σ = 414010320. Its totient is φ = 414010318.

The previous prime is 414010313. The next prime is 414010349. The reversal of 414010319 is 913010414.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 414010319 - 2¹² = 414006223 is a prime.

It is a super-2 number, since 2×414010319² = 342809088476963522, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 414010294 and 414010303.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414010313) 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 as a sum of consecutive naturals, namely, 207005159 + 207005160.

It is an arithmetic number, because the mean of its divisors is an integer number (207005160).

Almost surely, 2^414010319 is an apocalyptic number.

414010319 is a deficient number, since it is larger than the sum of its proper divisors (1).

414010319 is an equidigital number, since it uses as much as digits as its factorization.

414010319 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 414010319 is about 20347.2435233867. The cubic root of 414010319 is about 745.3101835846.

The spelling of 414010319 in words is "four hundred fourteen million, ten thousand, three hundred nineteen".