406460 has 12 divisors (see below), whose sum is σ = 853608. Its totient is φ = 162576.

The previous prime is 406447. The next prime is 406481. The reversal of 406460 is 64604.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 20323 = 406460 / (4 + 0 + 6 + 4 + 6 + 0).

It is a congruent number.

It is an unprimeable number.

406460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10142 + ... + 10181.

It is an arithmetic number, because the mean of its divisors is an integer number (71134).

2⁴⁰⁶⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

406460 is an abundant number, since it is smaller than the sum of its proper divisors (447148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406460 is a wasteful number, since it uses less digits than its factorization.

406460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20332 (or 20330 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 406460 is about 637.5421554690. The cubic root of 406460 is about 74.0751610334.

The spelling of 406460 in words is "four hundred six thousand, four hundred sixty".