329844960 has 240 divisors, whose sum is σ = 1203092352. Its totient is φ = 85017600.

The previous prime is 329844943. The next prime is 329844979. The reversal of 329844960 is 69448923.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 401350 + ... + 402170.

Almost surely, 2^329844960 is an apocalyptic number.

329844960 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 329844960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601546176).

329844960 is an abundant number, since it is smaller than the sum of its proper divisors (873247392).

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

329844960 is a wasteful number, since it uses less digits than its factorization.

329844960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 329844960 is about 18161.6342876956. The cubic root of 329844960 is about 690.9340846326.

The spelling of 329844960 in words is "three hundred twenty-nine million, eight hundred forty-four thousand, nine hundred sixty".