406401 has 4 divisors (see below), whose sum is σ = 541872. Its totient is φ = 270932.

The previous prime is 406397. The next prime is 406403. The reversal of 406401 is 104604.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 406401 - 2² = 406397 is a prime.

It is a D-number.

406401 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406401.

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 3 ways as a sum of consecutive naturals, for example, 67731 + ... + 67736.

It is an arithmetic number, because the mean of its divisors is an integer number (135468).

2⁴⁰⁶⁴⁰¹ is an apocalyptic number.

It is an amenable number.

406401 is a deficient number, since it is larger than the sum of its proper divisors (135471).

406401 is a wasteful number, since it uses less digits than its factorization.

406401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135470.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 406401 is about 637.4958823396. The cubic root of 406401 is about 74.0715767152.

It can be divided in two parts, 40 and 6401, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 406401 in words is "four hundred six thousand, four hundred one".