328334400 has 189 divisors, whose sum is σ = 1174757493. Its totient is φ = 86976000.

The previous prime is 328334353. The next prime is 328334401. The reversal of 328334400 is 4433823.

The square root of 328334400 is 18120.

It is a perfect power (a square), and thus also a powerful number.

328334400 is a `hidden beast` number, since 328 + 334 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118200384 + 210134016 = 10872^2 + 14496^2 .

It is not an unprimeable number, because it can be changed into a prime (328334401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2174325 + ... + 2174475.

Almost surely, 2^328334400 is an apocalyptic number.

328334400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

328334400 is the 18120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328334400

328334400 is an abundant number, since it is smaller than the sum of its proper divisors (846423093).

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

328334400 is a wasteful number, since it uses less digits than its factorization.

328334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The cubic root of 328334400 is about 689.8777351103.

The spelling of 328334400 in words is "three hundred twenty-eight million, three hundred thirty-four thousand, four hundred".