408881328 has 40 divisors (see below), whose sum is σ = 1074187200. Its totient is φ = 133982784.

The previous prime is 408881293. The next prime is 408881357. The reversal of 408881328 is 823188804.

It is a self number, because there is not a number n which added to its sum of digits gives 408881328.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69358 + ... + 75021.

It is an arithmetic number, because the mean of its divisors is an integer number (26854680).

Almost surely, 2^408881328 is an apocalyptic number.

408881328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

408881328 is an abundant number, since it is smaller than the sum of its proper divisors (665305872).

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

408881328 is a wasteful number, since it uses less digits than its factorization.

408881328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144449 (or 144443 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 42.

The square root of 408881328 is about 20220.8142269296. The cubic root of 408881328 is about 742.2196127547.

The spelling of 408881328 in words is "four hundred eight million, eight hundred eighty-one thousand, three hundred twenty-eight".