406431 has 8 divisors (see below), whose sum is σ = 602160. Its totient is φ = 270936.

The previous prime is 406423. The next prime is 406447. The reversal of 406431 is 134604.

It is not a de Polignac number, because 406431 - 2³ = 406423 is a prime.

It is a super-2 number, since 2×406431² = 330372315522, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406481) 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, 7500 + ... + 7553.

It is an arithmetic number, because the mean of its divisors is an integer number (75270).

2⁴⁰⁶⁴³¹ is an apocalyptic number.

406431 is a deficient number, since it is larger than the sum of its proper divisors (195729).

406431 is a wasteful number, since it uses less digits than its factorization.

406431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15062 (or 15056 counting only the distinct ones).

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

The square root of 406431 is about 637.5194114692. The cubic root of 406431 is about 74.0733992932.

It can be divided in two parts, 4064 and 31, that added together give a triangular number (4095 = T₉₀).

The spelling of 406431 in words is "four hundred six thousand, four hundred thirty-one".