329474880 has 336 divisors, whose sum is σ = 1321856640. Its totient is φ = 73764864.

The previous prime is 329474869. The next prime is 329474923. The reversal of 329474880 is 88474923.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1189302 + ... + 1189578.

Almost surely, 2^329474880 is an apocalyptic number.

329474880 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 329474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660928320).

329474880 is an abundant number, since it is smaller than the sum of its proper divisors (992381760).

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

329474880 is a wasteful number, since it uses less digits than its factorization.

329474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 329474880 is about 18151.4429178509. The cubic root of 329474880 is about 690.6755828037.

The spelling of 329474880 in words is "three hundred twenty-nine million, four hundred seventy-four thousand, eight hundred eighty".