314404413 has 16 divisors (see below), whose sum is σ = 423994176. Its totient is φ = 207217280.

The previous prime is 314404403. The next prime is 314404423.

314404413 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (314404403) and next prime (314404423).

It is a cyclic number.

It is not a de Polignac number, because 314404413 - 2⁴ = 314404397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314404403) 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, 262945 + ... + 264137.

It is an arithmetic number, because the mean of its divisors is an integer number (26499636).

Almost surely, 2^314404413 is an apocalyptic number.

It is an amenable number.

314404413 is a deficient number, since it is larger than the sum of its proper divisors (109589763).

314404413 is a wasteful number, since it uses less digits than its factorization.

314404413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 314404413 is about 17731.4526477669. The cubic root of 314404413 is about 679.9801125960.

It can be divided in two parts, 31440 and 4413, that added together give a palindrome (35853).

The spelling of 314404413 in words is "three hundred fourteen million, four hundred four thousand, four hundred thirteen".