414340031 has 24 divisors (see below), whose sum is σ = 514370736. Its totient is φ = 331618560.

The previous prime is 414340001. The next prime is 414340033. The reversal of 414340031 is 130043414.

It is a happy number.

It is not a de Polignac number, because 414340031 - 2²⁶ = 347231167 is a prime.

It is a super-2 number, since 2×414340031² = 343355322578161922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 414339985 and 414340012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414340033) 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 23 ways as a sum of consecutive naturals, for example, 107225 + ... + 111021.

It is an arithmetic number, because the mean of its divisors is an integer number (21432114).

Almost surely, 2^414340031 is an apocalyptic number.

414340031 is a deficient number, since it is larger than the sum of its proper divisors (100030705).

414340031 is a wasteful number, since it uses less digits than its factorization.

414340031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 414340031 is about 20355.3440403251. The cubic root of 414340031 is about 745.5079826046.

Adding to 414340031 its reverse (130043414), we get a palindrome (544383445).

The spelling of 414340031 in words is "four hundred fourteen million, three hundred forty thousand, thirty-one".