329472000 has 576 divisors, whose sum is σ = 1395182880. Its totient is φ = 73728000.

The previous prime is 329471963. The next prime is 329472047. The reversal of 329472000 is 274923.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1000 × 936 × 352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25343994 + ... + 25344006.

Almost surely, 2^329472000 is an apocalyptic number.

329472000 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 329472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697591440).

329472000 is an abundant number, since it is smaller than the sum of its proper divisors (1065710880).

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

329472000 is a wasteful number, since it uses less digits than its factorization.

329472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 329472000 is about 18151.3635851415. The cubic root of 329472000 is about 690.6735703575.

It can be divided in two parts, 3 and 29472000, that added together give a triangular number (29472003 = T₇₆₇₇).

The spelling of 329472000 in words is "three hundred twenty-nine million, four hundred seventy-two thousand".