408938328 has 64 divisors (see below), whose sum is σ = 1138176000. Its totient is φ = 136044576.

The previous prime is 408938317. The next prime is 408938339. The reversal of 408938328 is 823839804.

It is an interprime number because it is at equal distance from previous prime (408938317) and next prime (408938339).

It is a super-2 number, since 2×408938328² = 334461112214871168, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129553 + ... + 132671.

It is an arithmetic number, because the mean of its divisors is an integer number (17784000).

Almost surely, 2^408938328 is an apocalyptic number.

It is an amenable number.

408938328 is an abundant number, since it is smaller than the sum of its proper divisors (729237672).

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

408938328 is a wasteful number, since it uses less digits than its factorization.

408938328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 408938328 is about 20222.2236166056. The cubic root of 408938328 is about 742.2541007990.

The spelling of 408938328 in words is "four hundred eight million, nine hundred thirty-eight thousand, three hundred twenty-eight".