329172480 has 480 divisors, whose sum is σ = 1412034624. Its totient is φ = 69009408.

The previous prime is 329172451. The next prime is 329172497. The reversal of 329172480 is 84271923.

329172480 is a `hidden beast` number, since 3 + 2 + 9 + 172 + 480 = 666.

329172480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2096562 + ... + 2096718.

Almost surely, 2^329172480 is an apocalyptic number.

329172480 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 329172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706017312).

329172480 is an abundant number, since it is smaller than the sum of its proper divisors (1082862144).

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

329172480 is a wasteful number, since it uses less digits than its factorization.

329172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 329172480 is about 18143.1110893364. Note that the first 3 decimals coincide. The cubic root of 329172480 is about 690.4642118814.

The spelling of 329172480 in words is "three hundred twenty-nine million, one hundred seventy-two thousand, four hundred eighty".