406563328 has 40 divisors (see below), whose sum is σ = 815126400. Its totient is φ = 202583040.

The previous prime is 406563319. The next prime is 406563329. The reversal of 406563328 is 823365604.

It is not an unprimeable number, because it can be changed into a prime (406563329) 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 3 ways as a sum of consecutive naturals, for example, 168273 + ... + 170671.

It is an arithmetic number, because the mean of its divisors is an integer number (20378160).

Almost surely, 2^406563328 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 406563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407563200).

406563328 is an abundant number, since it is smaller than the sum of its proper divisors (408563072).

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

406563328 is an equidigital number, since it uses as much as digits as its factorization.

406563328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The square root of 406563328 is about 20163.4155836753. The cubic root of 406563328 is about 740.8143749339.

The spelling of 406563328 in words is "four hundred six million, five hundred sixty-three thousand, three hundred twenty-eight".