406307 has 8 divisors (see below), whose sum is σ = 454080. Its totient is φ = 360360.

The previous prime is 406271. The next prime is 406309. The reversal of 406307 is 703604.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 406307 - 2¹⁴ = 389923 is a prime.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406307.

It is not an unprimeable number, because it can be changed into a prime (406309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44 + ... + 902.

It is an arithmetic number, because the mean of its divisors is an integer number (56760).

2⁴⁰⁶³⁰⁷ is an apocalyptic number.

406307 is a deficient number, since it is larger than the sum of its proper divisors (47773).

406307 is a wasteful number, since it uses less digits than its factorization.

406307 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913.

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 406307 is about 637.4221521096. The cubic root of 406307 is about 74.0658653898.

The spelling of 406307 in words is "four hundred six thousand, three hundred seven".