408629 has 12 divisors (see below), whose sum is σ = 477036. Its totient is φ = 346752.

The previous prime is 408623. The next prime is 408631. The reversal of 408629 is 926804.

It can be written as a sum of positive squares in 2 ways, for example, as 184900 + 223729 = 430^2 + 473^2 .

It is not a de Polignac number, because 408629 - 2¹² = 404533 is a prime.

It is a Duffinian number.

408629 is a modest number, since divided by 629 gives 408 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9482 + ... + 9524.

It is an arithmetic number, because the mean of its divisors is an integer number (39753).

2⁴⁰⁸⁶²⁹ is an apocalyptic number.

It is an amenable number.

408629 is a deficient number, since it is larger than the sum of its proper divisors (68407).

408629 is a wasteful number, since it uses less digits than its factorization.

408629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 408629 is about 639.2409561347. The cubic root of 408629 is about 74.2066902326.

The spelling of 408629 in words is "four hundred eight thousand, six hundred twenty-nine".