329440272 has 80 divisors (see below), whose sum is σ = 978187392. Its totient is φ = 93588480.

The previous prime is 329440219. The next prime is 329440277. The reversal of 329440272 is 272044923.

It is not an unprimeable number, because it can be changed into a prime (329440277) 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, 58108 + ... + 63524.

Almost surely, 2^329440272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 329440272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489093696).

329440272 is an abundant number, since it is smaller than the sum of its proper divisors (648747120).

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

329440272 is a wasteful number, since it uses less digits than its factorization.

329440272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5616 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 329440272 is about 18150.4895801739. The cubic root of 329440272 is about 690.6513991315.

The spelling of 329440272 in words is "three hundred twenty-nine million, four hundred forty thousand, two hundred seventy-two".