414134031 has 16 divisors (see below), whose sum is σ = 560867328. Its totient is φ = 271776000.

The previous prime is 414134029. The next prime is 414134041. The reversal of 414134031 is 130431414.

It is not a de Polignac number, because 414134031 - 2¹ = 414134029 is a prime.

It is a super-2 number, since 2×414134031² = 343013991264617922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414133989 and 414134007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414134011) 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 in 15 ways as a sum of consecutive naturals, for example, 51856 + ... + 59306.

It is an arithmetic number, because the mean of its divisors is an integer number (35054208).

Almost surely, 2^414134031 is an apocalyptic number.

414134031 is a deficient number, since it is larger than the sum of its proper divisors (146733297).

414134031 is a wasteful number, since it uses less digits than its factorization.

414134031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7742.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 414134031 is about 20350.2833149811. The cubic root of 414134031 is about 745.3844125163.

Adding to 414134031 its reverse (130431414), we get a palindrome (544565445).

The spelling of 414134031 in words is "four hundred fourteen million, one hundred thirty-four thousand, thirty-one".