414007129 has 2 divisors, whose sum is σ = 414007130. Its totient is φ = 414007128.

The previous prime is 414007091. The next prime is 414007141. The reversal of 414007129 is 921700414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 350438400 + 63568729 = 18720^2 + 7973^2 .

It is a cyclic number.

It is not a de Polignac number, because 414007129 - 2⁹ = 414006617 is a prime.

It is equal to p_22042765 and since 414007129 and 22042765 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 414007097 and 414007106.

It is not a weakly prime, because it can be changed into another prime (414007729) 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, 207003564 + 207003565.

It is an arithmetic number, because the mean of its divisors is an integer number (207003565).

Almost surely, 2^414007129 is an apocalyptic number.

It is an amenable number.

414007129 is a deficient number, since it is larger than the sum of its proper divisors (1).

414007129 is an equidigital number, since it uses as much as digits as its factorization.

414007129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 414007129 is about 20347.1651342392. The cubic root of 414007129 is about 745.3082693444.

The spelling of 414007129 in words is "four hundred fourteen million, seven thousand, one hundred twenty-nine".