314444413 has 8 divisors (see below), whose sum is σ = 316944000. Its totient is φ = 311955168.

The previous prime is 314444407. The next prime is 314444437.

It is a happy number.

314444413 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314444413 - 2¹⁷ = 314313341 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314444483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65313 + ... + 69961.

It is an arithmetic number, because the mean of its divisors is an integer number (39618000).

Almost surely, 2^314444413 is an apocalyptic number.

It is an amenable number.

314444413 is a deficient number, since it is larger than the sum of its proper divisors (2499587).

314444413 is a wasteful number, since it uses less digits than its factorization.

314444413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5171.

The product of its digits is 9216, while the sum is 28.

The square root of 314444413 is about 17732.5805510648. The cubic root of 314444413 is about 680.0089481233.

It can be divided in two parts, 31 and 4444413, that added together give a palindrome (4444444).

The spelling of 314444413 in words is "three hundred fourteen million, four hundred forty-four thousand, four hundred thirteen".