409345328 has 40 divisors (see below), whose sum is σ = 935654400. Its totient is φ = 169773120.

The previous prime is 409345309. The next prime is 409345331. The reversal of 409345328 is 823543904.

It is a junction number, because it is equal to n+sod(n) for n = 409345291 and 409345300.

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, 55478 + ... + 62421.

It is an arithmetic number, because the mean of its divisors is an integer number (23391360).

Almost surely, 2^409345328 is an apocalyptic number.

It is an amenable number.

409345328 is an abundant number, since it is smaller than the sum of its proper divisors (526309072).

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

409345328 is a wasteful number, since it uses less digits than its factorization.

409345328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117945 (or 117939 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The square root of 409345328 is about 20232.2843000982. The cubic root of 409345328 is about 742.5002644476.

The spelling of 409345328 in words is "four hundred nine million, three hundred forty-five thousand, three hundred twenty-eight".