328581446400 has 432 divisors, whose sum is σ = 1210194105120. Its totient is φ = 87234969600.

The previous prime is 328581446393. The next prime is 328581446411. The reversal of 328581446400 is 4644185823.

328581446400 is a `hidden beast` number, since 3 + 2 + 8 + 581 + 4 + 4 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40258320 + ... + 40266480.

Almost surely, 2^328581446400 is an apocalyptic number.

328581446400 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 328581446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605097052560).

328581446400 is an abundant number, since it is smaller than the sum of its proper divisors (881612658720).

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

328581446400 is a wasteful number, since it uses less digits than its factorization.

328581446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8429 (or 8404 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 328581446400 in words is "three hundred twenty-eight billion, five hundred eighty-one million, four hundred forty-six thousand, four hundred".