409629 has 8 divisors (see below), whose sum is σ = 595872. Its totient is φ = 248240.

The previous prime is 409609. The next prime is 409639. The reversal of 409629 is 926904.

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 409629 - 2⁵ = 409597 is a prime.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 409596 and 409605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6174 + ... + 6239.

It is an arithmetic number, because the mean of its divisors is an integer number (74484).

2⁴⁰⁹⁶²⁹ is an apocalyptic number.

It is an amenable number.

409629 is a deficient number, since it is larger than the sum of its proper divisors (186243).

409629 is a wasteful number, since it uses less digits than its factorization.

409629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12427.

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 409629 is about 640.0226558490. The cubic root of 409629 is about 74.2671739797.

It can be divided in two parts, 40 and 9629, that added together give a palindrome (9669).

The spelling of 409629 in words is "four hundred nine thousand, six hundred twenty-nine".