406420 has 24 divisors (see below), whose sum is σ = 975744. Its totient is φ = 139296.

The previous prime is 406403. The next prime is 406423. The reversal of 406420 is 24604.

It is a junction number, because it is equal to n+sod(n) for n = 406394 and 406403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406423) by changing a digit.

406420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312 + ... + 1591.

It is an arithmetic number, because the mean of its divisors is an integer number (40656).

2⁴⁰⁶⁴²⁰ is an apocalyptic number.

It is an amenable number.

406420 is an abundant number, since it is smaller than the sum of its proper divisors (569324).

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

406420 is a wasteful number, since it uses less digits than its factorization.

406420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 406420 is about 637.5107842225. The cubic root of 406420 is about 74.0727310250.

The spelling of 406420 in words is "four hundred six thousand, four hundred twenty".