406767328 has 96 divisors (see below), whose sum is σ = 931875840. Its totient is φ = 172930560.

The previous prime is 406767323. The next prime is 406767331. The reversal of 406767328 is 823767604.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406767323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379978 + ... + 381046.

It is an arithmetic number, because the mean of its divisors is an integer number (9707040).

Almost surely, 2^406767328 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 406767328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465937920).

406767328 is an abundant number, since it is smaller than the sum of its proper divisors (525108512).

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

406767328 is a wasteful number, since it uses less digits than its factorization.

406767328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 43.

The square root of 406767328 is about 20168.4736160176. The cubic root of 406767328 is about 740.9382595807.

The spelling of 406767328 in words is "four hundred six million, seven hundred sixty-seven thousand, three hundred twenty-eight".