406029 has 16 divisors (see below), whose sum is σ = 604800. Its totient is φ = 240576.

The previous prime is 406027. The next prime is 406037. The reversal of 406029 is 920604.

It is not a de Polignac number, because 406029 - 2¹ = 406027 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 405996 and 406014.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406029.

It is not an unprimeable number, because it can be changed into a prime (406027) 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, 952 + ... + 1310.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2⁴⁰⁶⁰²⁹ is an apocalyptic number.

It is an amenable number.

406029 is a deficient number, since it is larger than the sum of its proper divisors (198771).

406029 is a wasteful number, since it uses less digits than its factorization.

406029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 406029 is about 637.2040489514. The cubic root of 406029 is about 74.0489692920.

The spelling of 406029 in words is "four hundred six thousand, twenty-nine".