406629 has 6 divisors (see below), whose sum is σ = 587366. Its totient is φ = 271080.

The previous prime is 406591. The next prime is 406631. The reversal of 406629 is 926604.

It can be written as a sum of positive squares in only one way, i.e., 245025 + 161604 = 495^2 + 402^2 .

It is not a de Polignac number, because 406629 - 2⁷ = 406501 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406649) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22582 + ... + 22599.

2⁴⁰⁶⁶²⁹ is an apocalyptic number.

It is an amenable number.

406629 is a deficient number, since it is larger than the sum of its proper divisors (180737).

406629 is a wasteful number, since it uses less digits than its factorization.

406629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45187 (or 45184 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 406629 is about 637.6746819500. The cubic root of 406629 is about 74.0854260596.

It can be divided in two parts, 4066 and 29, that added together give a triangular number (4095 = T₉₀).

The spelling of 406629 in words is "four hundred six thousand, six hundred twenty-nine".