406680940 has 144 divisors (see below), whose sum is σ = 983162880. Its totient is φ = 140849280.

The previous prime is 406680931. The next prime is 406680941. The reversal of 406680940 is 49086604.

406680940 is a nontrivial binomial coefficient, being equal to C(28520, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 406680940.

It is not an unprimeable number, because it can be changed into a prime (406680941) 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, 5147821 + ... + 5147899.

It is an arithmetic number, because the mean of its divisors is an integer number (6827520).

Almost surely, 2^406680940 is an apocalyptic number.

406680940 is the 28519-th triangular number and also the 14260-th hexagonal number.

406680940 is the 9507-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406680940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491581440).

406680940 is an abundant number, since it is smaller than the sum of its proper divisors (576481940).

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

406680940 is a wasteful number, since it uses less digits than its factorization.

406680940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 406680940 is about 20166.3318429505. The cubic root of 406680940 is about 740.8858031338.

The spelling of 406680940 in words is "four hundred six million, six hundred eighty thousand, nine hundred forty".