414034313 has 16 divisors (see below), whose sum is σ = 516848640. Its totient is φ = 322218000.

The previous prime is 414034273. The next prime is 414034349. The reversal of 414034313 is 313430414.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414034313 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (414034513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67838 + ... + 73688.

It is an arithmetic number, because the mean of its divisors is an integer number (32303040).

Almost surely, 2^414034313 is an apocalyptic number.

It is an amenable number.

414034313 is a deficient number, since it is larger than the sum of its proper divisors (102814327).

414034313 is a wasteful number, since it uses less digits than its factorization.

414034313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6788.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 414034313 is about 20347.8331278788. The cubic root of 414034313 is about 745.3245814762.

Adding to 414034313 its reverse (313430414), we get a palindrome (727464727).

The spelling of 414034313 in words is "four hundred fourteen million, thirty-four thousand, three hundred thirteen".