406929 has 16 divisors (see below), whose sum is σ = 587520. Its totient is φ = 249600.

The previous prime is 406907. The next prime is 406951. The reversal of 406929 is 929604.

It is an interprime number because it is at equal distance from previous prime (406907) and next prime (406951).

It is not a de Polignac number, because 406929 - 2⁸ = 406673 is a prime.

It is a super-2 number, since 2×406929² = 331182422082, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 406896 and 406905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3979 + ... + 4079.

It is an arithmetic number, because the mean of its divisors is an integer number (36720).

2⁴⁰⁶⁹²⁹ is an apocalyptic number.

It is an amenable number.

406929 is a deficient number, since it is larger than the sum of its proper divisors (180591).

406929 is a wasteful number, since it uses less digits than its factorization.

406929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200.

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

The square root of 406929 is about 637.9098682416. The cubic root of 406929 is about 74.1036409961.

The spelling of 406929 in words is "four hundred six thousand, nine hundred twenty-nine".