329007420 has 288 divisors, whose sum is σ = 1247500800. Its totient is φ = 71103744.

The previous prime is 329007391. The next prime is 329007449. The reversal of 329007420 is 24700923.

It is an interprime number because it is at equal distance from previous prime (329007391) and next prime (329007449).

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 646126 + ... + 646634.

It is an arithmetic number, because the mean of its divisors is an integer number (4331600).

Almost surely, 2^329007420 is an apocalyptic number.

329007420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329007420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623750400).

329007420 is an abundant number, since it is smaller than the sum of its proper divisors (918493380).

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

329007420 is a wasteful number, since it uses less digits than its factorization.

329007420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 329007420 is about 18138.5616849848. The cubic root of 329007420 is about 690.3487839680.

The spelling of 329007420 in words is "three hundred twenty-nine million, seven thousand, four hundred twenty".