408039072 has 72 divisors (see below), whose sum is σ = 1245990816. Its totient is φ = 116581248.

The previous prime is 408039031. The next prime is 408039089. The reversal of 408039072 is 270930804.

It is an unprimeable number.

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, 38668 + ... + 48075.

It is an arithmetic number, because the mean of its divisors is an integer number (17305428).

Almost surely, 2^408039072 is an apocalyptic number.

408039072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

408039072 is an abundant number, since it is smaller than the sum of its proper divisors (837951744).

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

408039072 is a wasteful number, since it uses less digits than its factorization.

408039072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86770 (or 86755 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 408039072 is about 20199.9770296899. The cubic root of 408039072 is about 741.7096288766.

Adding to 408039072 its reverse (270930804), we get a palindrome (678969876).

The spelling of 408039072 in words is "four hundred eight million, thirty-nine thousand, seventy-two".