406940328 has 128 divisors (see below), whose sum is σ = 1197840000. Its totient is φ = 127650816.

The previous prime is 406940327. The next prime is 406940329. The reversal of 406940328 is 823049604.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (406940327) and next prime (406940329).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 406940292 and 406940301.

It is not an unprimeable number, because it can be changed into a prime (406940323) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 939600 + ... + 940032.

It is an arithmetic number, because the mean of its divisors is an integer number (9358125).

Almost surely, 2^406940328 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 406940328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598920000).

406940328 is an abundant number, since it is smaller than the sum of its proper divisors (790899672).

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

406940328 is a wasteful number, since it uses less digits than its factorization.

406940328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 406940328 is about 20172.7620320074. The cubic root of 406940328 is about 741.0432861665.

The spelling of 406940328 in words is "four hundred six million, nine hundred forty thousand, three hundred twenty-eight".