413383314 has 16 divisors (see below), whose sum is σ = 849112128. Its totient is φ = 134070192.

The previous prime is 413383309. The next prime is 413383319.

413383314 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (413383309) and next prime (413383319).

It is a super-3 number, since 3×413383314³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (413383319) 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, 930822 + ... + 931265.

It is an arithmetic number, because the mean of its divisors is an integer number (53069508).

Almost surely, 2^413383314 is an apocalyptic number.

413383314 is an abundant number, since it is smaller than the sum of its proper divisors (435728814).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413383314 is a wasteful number, since it uses less digits than its factorization.

413383314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862129.

The product of its digits is 10368, while the sum is 30.

The square root of 413383314 is about 20331.8300701142. The cubic root of 413383314 is about 744.9337442392.

The spelling of 413383314 in words is "four hundred thirteen million, three hundred eighty-three thousand, three hundred fourteen".