408424328 has 48 divisors (see below), whose sum is σ = 834315300. Its totient is φ = 187349760.

The previous prime is 408424327. The next prime is 408424381. The reversal of 408424328 is 823424804.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2079364 + 406344964 = 1442^2 + 20158^2 .

It is not an unprimeable number, because it can be changed into a prime (408424321) 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 11 ways as a sum of consecutive naturals, for example, 243878 + ... + 245546.

Almost surely, 2^408424328 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 408424328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417157650).

408424328 is an abundant number, since it is smaller than the sum of its proper divisors (425890972).

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

408424328 is a wasteful number, since it uses less digits than its factorization.

408424328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 35.

The square root of 408424328 is about 20209.5108302997. The cubic root of 408424328 is about 741.9429874121.

The spelling of 408424328 in words is "four hundred eight million, four hundred twenty-four thousand, three hundred twenty-eight".