406580 has 24 divisors (see below), whose sum is σ = 884520. Its totient is φ = 156800.

The previous prime is 406579. The next prime is 406583. The reversal of 406580 is 85604.

It can be written as a sum of positive squares in 4 ways, for example, as 106276 + 300304 = 326^2 + 548^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (36855).

2⁴⁰⁶⁵⁸⁰ 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 406580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442260).

406580 is an abundant number, since it is smaller than the sum of its proper divisors (477940).

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

406580 is a wasteful number, since it uses less digits than its factorization.

406580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 406580 is about 637.6362599476. The cubic root of 406580 is about 74.0824501022.

The spelling of 406580 in words is "four hundred six thousand, five hundred eighty".