413627 has 8 divisors (see below), whose sum is σ = 453600. Its totient is φ = 375424.

The previous prime is 413597. The next prime is 413629. The reversal of 413627 is 726314.

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 413627 - 2¹⁰ = 412603 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413629) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 74 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2⁴¹³⁶²⁷ is an apocalyptic number.

413627 is a deficient number, since it is larger than the sum of its proper divisors (39973).

413627 is a wasteful number, since it uses less digits than its factorization.

413627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885.

The product of its digits is 1008, while the sum is 23.

The square root of 413627 is about 643.1383987914. The cubic root of 413627 is about 74.5080092886.

It can be divided in two parts, 4 and 13627, that added together give a palindrome (13631).

The spelling of 413627 in words is "four hundred thirteen thousand, six hundred twenty-seven".