406413 has 12 divisors (see below), whose sum is σ = 671008. Its totient is φ = 232200.

The previous prime is 406403. The next prime is 406423. The reversal of 406413 is 314604.

It is an interprime number because it is at equal distance from previous prime (406403) and next prime (406423).

It is not a de Polignac number, because 406413 - 2⁴ = 406397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406403) 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, 3163 + ... + 3288.

2⁴⁰⁶⁴¹³ is an apocalyptic number.

It is an amenable number.

406413 is a deficient number, since it is larger than the sum of its proper divisors (264595).

406413 is a wasteful number, since it uses less digits than its factorization.

406413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6464 (or 6461 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 406413 is about 637.5052940957. The cubic root of 406413 is about 74.0723057572.

Subtracting from 406413 its reverse (314604), we obtain a square (91809 = 303²).

The spelling of 406413 in words is "four hundred six thousand, four hundred thirteen".