406780 has 36 divisors (see below), whose sum is σ = 954072. Its totient is φ = 144480.

The previous prime is 406739. The next prime is 406789. The reversal of 406780 is 87604.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406789) by changing a digit.

406780 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 11 ways as a sum of consecutive naturals, for example, 9439 + ... + 9481.

It is an arithmetic number, because the mean of its divisors is an integer number (26502).

2⁴⁰⁶⁷⁸⁰ 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 406780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477036).

406780 is an abundant number, since it is smaller than the sum of its proper divisors (547292).

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

406780 is a wasteful number, since it uses less digits than its factorization.

406780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 406780 is about 637.7930698902. The cubic root of 406780 is about 74.0945953637.

The spelling of 406780 in words is "four hundred six thousand, seven hundred eighty".