413220304 has 120 divisors (see below), whose sum is σ = 979812288. Its totient is φ = 165258240.

The previous prime is 413220293. The next prime is 413220317. The reversal of 413220304 is 403022314.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3861819 + ... + 3861925.

Almost surely, 2^413220304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489906144).

413220304 is an abundant number, since it is smaller than the sum of its proper divisors (566591984).

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

413220304 is a wasteful number, since it uses less digits than its factorization.

413220304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 413220304 is about 20327.8209358505. The cubic root of 413220304 is about 744.8358144563.

Adding to 413220304 its reverse (403022314), we get a palindrome (816242618).

The spelling of 413220304 in words is "four hundred thirteen million, two hundred twenty thousand, three hundred four".