413641305 has 192 divisors, whose sum is σ = 965652480. Its totient is φ = 158630400.

The previous prime is 413641303. The next prime is 413641307. The reversal of 413641305 is 503146314.

413641305 is a `hidden beast` number, since 4 + 13 + 641 + 3 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (413641303) and next prime (413641307).

It is not a de Polignac number, because 413641305 - 2¹ = 413641303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413641301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4015884 + ... + 4015986.

It is an arithmetic number, because the mean of its divisors is an integer number (5029440).

Almost surely, 2^413641305 is an apocalyptic number.

413641305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413641305 is an abundant number, since it is smaller than the sum of its proper divisors (552011175).

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

413641305 is a wasteful number, since it uses less digits than its factorization.

413641305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 413641305 is about 20338.1735905661. The cubic root of 413641305 is about 745.0886821447.

Adding to 413641305 its reverse (503146314), we get a palindrome (916787619).

The spelling of 413641305 in words is "four hundred thirteen million, six hundred forty-one thousand, three hundred five".