413720305 has 8 divisors (see below), whose sum is σ = 497889000. Its totient is φ = 330026496.

The previous prime is 413720227. The next prime is 413720311. The reversal of 413720305 is 503027314.

It can be written as a sum of positive squares in 4 ways, for example, as 5841889 + 407878416 = 2417^2 + 20196^2 .

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 413720305 - 2²¹ = 411623153 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413720305.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116800 + ... + 120289.

It is an arithmetic number, because the mean of its divisors is an integer number (62236125).

Almost surely, 2^413720305 is an apocalyptic number.

It is an amenable number.

413720305 is a deficient number, since it is larger than the sum of its proper divisors (84168695).

413720305 is a wasteful number, since it uses less digits than its factorization.

413720305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237443.

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 413720305 is about 20340.1156584716. The cubic root of 413720305 is about 745.1361131421.

Adding to 413720305 its reverse (503027314), we get a palindrome (916747619).

It can be divided in two parts, 4137 and 20305, that added together give a palindrome (24442).

The spelling of 413720305 in words is "four hundred thirteen million, seven hundred twenty thousand, three hundred five".