329952 has 48 divisors (see below), whose sum is σ = 991872. Its totient is φ = 94080.

The previous prime is 329951. The next prime is 329957. The reversal of 329952 is 259923.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 427 + ... + 917.

It is an arithmetic number, because the mean of its divisors is an integer number (20664).

2³²⁹⁹⁵² is an apocalyptic number.

329952 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 329952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495936).

329952 is an abundant number, since it is smaller than the sum of its proper divisors (661920).

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

329952 is a wasteful number, since it uses less digits than its factorization.

329952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 503 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 329952 is about 574.4144844970. The cubic root of 329952 is about 69.1008816294.

The spelling of 329952 in words is "three hundred twenty-nine thousand, nine hundred fifty-two".