406461 has 16 divisors (see below), whose sum is σ = 601920. Its totient is φ = 241920.

The previous prime is 406447. The next prime is 406481. The reversal of 406461 is 164604.

It is not a de Polignac number, because 406461 - 2⁶ = 406397 is a prime.

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 15 ways as a sum of consecutive naturals, for example, 3541 + ... + 3653.

It is an arithmetic number, because the mean of its divisors is an integer number (37620).

2⁴⁰⁶⁴⁶¹ is an apocalyptic number.

It is an amenable number.

406461 is a deficient number, since it is larger than the sum of its proper divisors (195459).

406461 is a wasteful number, since it uses less digits than its factorization.

406461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 406461 is about 637.5429397303. The cubic root of 406461 is about 74.0752217816.

The spelling of 406461 in words is "four hundred six thousand, four hundred sixty-one".