413535305 has 8 divisors (see below), whose sum is σ = 496434312. Its totient is φ = 330700288.

The previous prime is 413535293. The next prime is 413535337. The reversal of 413535305 is 503535314.

It can be written as a sum of positive squares in 4 ways, for example, as 38105929 + 375429376 = 6173^2 + 19376^2 .

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 413535305 - 2⁸ = 413535049 is a prime.

It is a super-2 number, since 2×413535305² = 342022896962886050, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392 + ... + 28761.

It is an arithmetic number, because the mean of its divisors is an integer number (62054289).

Almost surely, 2^413535305 is an apocalyptic number.

It is an amenable number.

413535305 is a deficient number, since it is larger than the sum of its proper divisors (82899007).

413535305 is a wasteful number, since it uses less digits than its factorization.

413535305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31995.

The product of its (nonzero) digits is 13500, while the sum is 29.

The square root of 413535305 is about 20335.5674865493. The cubic root of 413535305 is about 745.0250310644.

Subtracting 413535305 from its reverse (503535314), we obtain a palindrome (90000009).

The spelling of 413535305 in words is "four hundred thirteen million, five hundred thirty-five thousand, three hundred five".