329474800 has 60 divisors (see below), whose sum is σ = 818887320. Its totient is φ = 127240960.

The previous prime is 329474791. The next prime is 329474813. The reversal of 329474800 is 8474923.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 329474800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2602 + ... + 25801.

It is an arithmetic number, because the mean of its divisors is an integer number (13648122).

Almost surely, 2^329474800 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 329474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409443660).

329474800 is an abundant number, since it is smaller than the sum of its proper divisors (489412520).

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

329474800 is a wasteful number, since it uses less digits than its factorization.

329474800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28450 (or 28439 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 329474800 is about 18151.4407141692. The cubic root of 329474800 is about 690.6755269026.

The spelling of 329474800 in words is "three hundred twenty-nine million, four hundred seventy-four thousand, eight hundred".