413440013 has 8 divisors (see below), whose sum is σ = 473531520. Its totient is φ = 353605680.

The previous prime is 413440007. The next prime is 413440033. The reversal of 413440013 is 310044314.

It is a happy number.

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 413440013 - 2⁴ = 413439997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413440033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60833 + ... + 67286.

It is an arithmetic number, because the mean of its divisors is an integer number (59191440).

Almost surely, 2^413440013 is an apocalyptic number.

It is an amenable number.

413440013 is a deficient number, since it is larger than the sum of its proper divisors (60091507).

413440013 is a wasteful number, since it uses less digits than its factorization.

413440013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128587.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 413440013 is about 20333.2243630960. The cubic root of 413440013 is about 744.9678006593.

Adding to 413440013 its reverse (310044314), we get a palindrome (723484327).

The spelling of 413440013 in words is "four hundred thirteen million, four hundred forty thousand, thirteen".