409627 has 4 divisors (see below), whose sum is σ = 420736. Its totient is φ = 398520.

The previous prime is 409609. The next prime is 409639. The reversal of 409627 is 726904.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 409627 - 2⁷ = 409499 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 409595 and 409604.

It is not an unprimeable number, because it can be changed into a prime (409657) 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 3 ways as a sum of consecutive naturals, for example, 5499 + ... + 5572.

It is an arithmetic number, because the mean of its divisors is an integer number (105184).

2⁴⁰⁹⁶²⁷ is an apocalyptic number.

409627 is a deficient number, since it is larger than the sum of its proper divisors (11109).

409627 is a wasteful number, since it uses less digits than its factorization.

409627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11108.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 409627 is about 640.0210934024. The cubic root of 409627 is about 74.2670531105.

It can be divided in two parts, 4096 and 27, that multiplied together give a cube (110592 = 48³).

The spelling of 409627 in words is "four hundred nine thousand, six hundred twenty-seven".