328414744 has 64 divisors (see below), whose sum is σ = 732211200. Its totient is φ = 135129600.

The previous prime is 328414741. The next prime is 328414777. The reversal of 328414744 is 447414823.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328414741) 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 15 ways as a sum of consecutive naturals, for example, 240624 + ... + 241984.

It is an arithmetic number, because the mean of its divisors is an integer number (11440800).

Almost surely, 2^328414744 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 328414744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366105600).

328414744 is an abundant number, since it is smaller than the sum of its proper divisors (403796456).

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

328414744 is a wasteful number, since it uses less digits than its factorization.

328414744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1540 counting only the distinct ones).

The product of its digits is 86016, while the sum is 37.

The square root of 328414744 is about 18122.2168621833. The cubic root of 328414744 is about 689.9340019491.

The spelling of 328414744 in words is "three hundred twenty-eight million, four hundred fourteen thousand, seven hundred forty-four".