328414905 has 240 divisors, whose sum is σ = 787913280. Its totient is φ = 129330432.

The previous prime is 328414847. The next prime is 328414927. The reversal of 328414905 is 509414823.

It is not a de Polignac number, because 328414905 - 2⁷ = 328414777 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 328414905.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4901682 + ... + 4901748.

It is an arithmetic number, because the mean of its divisors is an integer number (3282972).

Almost surely, 2^328414905 is an apocalyptic number.

328414905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

328414905 is an abundant number, since it is smaller than the sum of its proper divisors (459498375).

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

328414905 is a wasteful number, since it uses less digits than its factorization.

328414905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 328414905 is about 18122.2213042441. The cubic root of 328414905 is about 689.9341146921.

The spelling of 328414905 in words is "three hundred twenty-eight million, four hundred fourteen thousand, nine hundred five".