406329 has 16 divisors (see below), whose sum is σ = 675840. Its totient is φ = 210960.

The previous prime is 406327. The next prime is 406331. The reversal of 406329 is 923604.

It is an interprime number because it is at equal distance from previous prime (406327) and next prime (406331).

It is not a de Polignac number, because 406329 - 2¹ = 406327 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 406299 and 406308.

It is not an unprimeable number, because it can be changed into a prime (406327) 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, 649 + ... + 1110.

It is an arithmetic number, because the mean of its divisors is an integer number (42240).

2⁴⁰⁶³²⁹ is an apocalyptic number.

It is an amenable number.

406329 is a deficient number, since it is larger than the sum of its proper divisors (269511).

406329 is a wasteful number, since it uses less digits than its factorization.

406329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 406329 is about 637.4394088853. The cubic root of 406329 is about 74.0672021619.

The spelling of 406329 in words is "four hundred six thousand, three hundred twenty-nine".