414030313 has 2 divisors, whose sum is σ = 414030314. Its totient is φ = 414030312.

The previous prime is 414030301. The next prime is 414030343. The reversal of 414030313 is 313030414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 382085209 + 31945104 = 19547^2 + 5652^2 .

It is a cyclic number.

It is not a de Polignac number, because 414030313 - 2²⁵ = 380475881 is a prime.

It is a super-2 number, since 2×414030313² = 342842200165755938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414030343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207015156 + 207015157.

It is an arithmetic number, because the mean of its divisors is an integer number (207015157).

Almost surely, 2^414030313 is an apocalyptic number.

It is an amenable number.

414030313 is a deficient number, since it is larger than the sum of its proper divisors (1).

414030313 is an equidigital number, since it uses as much as digits as its factorization.

414030313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 414030313 is about 20347.7348370771. The cubic root of 414030313 is about 745.3221812662.

Adding to 414030313 its reverse (313030414), we get a palindrome (727060727).

It can be divided in two parts, 4140 and 30313, that added together give a triangular number (34453 = T₂₆₂).

The spelling of 414030313 in words is "four hundred fourteen million, thirty thousand, three hundred thirteen".