406980 has 144 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 82944.

The previous prime is 406969. The next prime is 406981. The reversal of 406980 is 89604.

406980 is nontrivially palindromic in base 11.

It is a zygodrome in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406980.

It is not an unprimeable number, because it can be changed into a prime (406981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21411 + ... + 21429.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2⁴⁰⁶⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

406980 is an abundant number, since it is smaller than the sum of its proper divisors (1165500).

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

406980 is a wasteful number, since it uses less digits than its factorization.

406980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 406980 is about 637.9498412885. The cubic root of 406980 is about 74.1067366449.

The spelling of 406980 in words is "four hundred six thousand, nine hundred eighty".