413220305 has 8 divisors (see below), whose sum is σ = 498382632. Its totient is φ = 328897408.

The previous prime is 413220293. The next prime is 413220317. The reversal of 413220305 is 503022314.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (413220293) and next prime (413220317).

It can be written as a sum of positive squares in 4 ways, for example, as 72301009 + 340919296 = 8503^2 + 18464^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413220305 is a prime.

It is a Duffinian number.

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, 208772 + ... + 210741.

It is an arithmetic number, because the mean of its divisors is an integer number (62297829).

Almost surely, 2^413220305 is an apocalyptic number.

It is an amenable number.

413220305 is a deficient number, since it is larger than the sum of its proper divisors (85162327).

413220305 is a wasteful number, since it uses less digits than its factorization.

413220305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419715.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 413220305 is about 20327.8209604473. The cubic root of 413220305 is about 744.8358150571.

Adding to 413220305 its reverse (503022314), we get a palindrome (916242619).

The spelling of 413220305 in words is "four hundred thirteen million, two hundred twenty thousand, three hundred five".