413020314 has 36 divisors (see below), whose sum is σ = 1040981994. Its totient is φ = 118005552.

The previous prime is 413020313. The next prime is 413020319.

413020314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 410670225 + 2350089 = 20265^2 + 1533^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (413020313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 233257 + ... + 235020.

Almost surely, 2^413020314 is an apocalyptic number.

413020314 is an abundant number, since it is smaller than the sum of its proper divisors (627961680).

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

413020314 is a wasteful number, since it uses less digits than its factorization.

413020314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468299 (or 468289 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 413020314 is about 20322.9012200522. The cubic root of 413020314 is about 744.7156334046.

The spelling of 413020314 in words is "four hundred thirteen million, twenty thousand, three hundred fourteen".