413629505 has 8 divisors (see below), whose sum is σ = 498416424. Its totient is φ = 329529600.

The previous prime is 413629481. The next prime is 413629507. The reversal of 413629505 is 505926314.

It can be written as a sum of positive squares in 4 ways, for example, as 31348801 + 382280704 = 5599^2 + 19552^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-413629505 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (413629507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170426 + ... + 172835.

It is an arithmetic number, because the mean of its divisors is an integer number (62302053).

Almost surely, 2^413629505 is an apocalyptic number.

It is an amenable number.

413629505 is a deficient number, since it is larger than the sum of its proper divisors (84786919).

413629505 is a wasteful number, since it uses less digits than its factorization.

413629505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343507.

The product of its (nonzero) digits is 32400, while the sum is 35.

The square root of 413629505 is about 20337.8834936185. The cubic root of 413629505 is about 745.0815969963.

The spelling of 413629505 in words is "four hundred thirteen million, six hundred twenty-nine thousand, five hundred five".