329425152 has 144 divisors (see below), whose sum is σ = 1037043840. Its totient is φ = 90832896.

The previous prime is 329425147. The next prime is 329425153. The reversal of 329425152 is 251524923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329425153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154848 + ... + 156960.

Almost surely, 2^329425152 is an apocalyptic number.

329425152 is a gapful number since it is divisible by the number (32) 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 329425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518521920).

329425152 is an abundant number, since it is smaller than the sum of its proper divisors (707618688).

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

329425152 is a wasteful number, since it uses less digits than its factorization.

329425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2154 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 329425152 is about 18150.0730577042. The cubic root of 329425152 is about 690.6408329178.

The spelling of 329425152 in words is "three hundred twenty-nine million, four hundred twenty-five thousand, one hundred fifty-two".