329405130 has 40 divisors (see below), whose sum is σ = 885735972. Its totient is φ = 87841152.

The previous prime is 329405081. The next prime is 329405159. The reversal of 329405130 is 31504923.

It can be written as a sum of positive squares in 2 ways, for example, as 292717881 + 36687249 = 17109^2 + 6057^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 329405094 and 329405103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 202527 + ... + 204146.

Almost surely, 2^329405130 is an apocalyptic number.

329405130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

329405130 is an abundant number, since it is smaller than the sum of its proper divisors (556330842).

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

329405130 is a wasteful number, since it uses less digits than its factorization.

329405130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406692 (or 406683 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 329405130 is about 18149.5214812953. The cubic root of 329405130 is about 690.6268405730.

The spelling of 329405130 in words is "three hundred twenty-nine million, four hundred five thousand, one hundred thirty".