406801 has 6 divisors (see below), whose sum is σ = 425810. Its totient is φ = 388608.

The previous prime is 406789. The next prime is 406807. The reversal of 406801 is 108604.

It can be written as a sum of positive squares in only one way, i.e., 330625 + 76176 = 575^2 + 276^2 .

It is not a de Polignac number, because 406801 - 2⁷ = 406673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145 + ... + 913.

2⁴⁰⁶⁸⁰¹ is an apocalyptic number.

It is an amenable number.

406801 is a deficient number, since it is larger than the sum of its proper divisors (19009).

406801 is an equidigital number, since it uses as much as digits as its factorization.

406801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 406801 is about 637.8095326977. The cubic root of 406801 is about 74.0958703852.

The spelling of 406801 in words is "four hundred six thousand, eight hundred one".