408044032 has 80 divisors (see below), whose sum is σ = 906852672. Its totient is φ = 181841920.

The previous prime is 408044027. The next prime is 408044051. The reversal of 408044032 is 230440804.

It is a junction number, because it is equal to n+sod(n) for n = 408043988 and 408044006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297813 + ... + 299179.

Almost surely, 2^408044032 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 408044032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453426336).

408044032 is an abundant number, since it is smaller than the sum of its proper divisors (498808640).

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

408044032 is a wasteful number, since it uses less digits than its factorization.

408044032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 408044032 is about 20200.0998017337. The cubic root of 408044032 is about 741.7126341973.

Adding to 408044032 its reverse (230440804), we get a palindrome (638484836).

The spelling of 408044032 in words is "four hundred eight million, forty-four thousand, thirty-two".