329952480 has 576 divisors, whose sum is σ = 1351365120. Its totient is φ = 66908160.

The previous prime is 329952463. The next prime is 329952487. The reversal of 329952480 is 84259923.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (329952487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14345749 + ... + 14345771.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2^329952480 is an apocalyptic number.

329952480 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 329952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675682560).

329952480 is an abundant number, since it is smaller than the sum of its proper divisors (1021412640).

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

329952480 is a wasteful number, since it uses less digits than its factorization.

329952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 329952480 is about 18164.5941325426. The cubic root of 329952480 is about 691.0091513773.

The spelling of 329952480 in words is "three hundred twenty-nine million, nine hundred fifty-two thousand, four hundred eighty".