329041440 has 672 divisors, whose sum is σ = 1480743936. Its totient is φ = 67184640.

The previous prime is 329041439. The next prime is 329041457. The reversal of 329041440 is 44140923.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 10614225 + ... + 10614255.

It is an arithmetic number, because the mean of its divisors is an integer number (2203488).

Almost surely, 2^329041440 is an apocalyptic number.

329041440 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 329041440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740371968).

329041440 is an abundant number, since it is smaller than the sum of its proper divisors (1151702496).

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

329041440 is a wasteful number, since it uses less digits than its factorization.

329041440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 329041440 is about 18139.4994418258. The cubic root of 329041440 is about 690.3725776119.

The spelling of 329041440 in words is "three hundred twenty-nine million, forty-one thousand, four hundred forty".