413029305 has 24 divisors (see below), whose sum is σ = 770989128. Its totient is φ = 203337216.

The previous prime is 413029303. The next prime is 413029343. The reversal of 413029305 is 503920314.

It can be written as a sum of positive squares in 4 ways, for example, as 48066489 + 364962816 = 6933^2 + 19104^2 .

It is not a de Polignac number, because 413029305 - 2¹ = 413029303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (413029303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352432 + ... + 353601.

It is an arithmetic number, because the mean of its divisors is an integer number (32124547).

Almost surely, 2^413029305 is an apocalyptic number.

413029305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

413029305 is a deficient number, since it is larger than the sum of its proper divisors (357959823).

413029305 is a wasteful number, since it uses less digits than its factorization.

413029305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706057 (or 706054 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 413029305 is about 20323.1224225019. The cubic root of 413029305 is about 744.7210372467.

Adding to 413029305 its reverse (503920314), we get a palindrome (916949619).

The spelling of 413029305 in words is "four hundred thirteen million, twenty-nine thousand, three hundred five".