441416328 has 64 divisors (see below), whose sum is σ = 1132665600. Its totient is φ = 143277120.

The previous prime is 441416293. The next prime is 441416351. The reversal of 441416328 is 823614144.

441416328 is a nontrivial binomial coefficient, being equal to C(29713, 2).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638463 + ... + 639153.

It is an arithmetic number, because the mean of its divisors is an integer number (17697900).

Almost surely, 2^441416328 is an apocalyptic number.

441416328 is the 29712-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441416328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566332800).

441416328 is an abundant number, since it is smaller than the sum of its proper divisors (691249272).

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

441416328 is a wasteful number, since it uses less digits than its factorization.

441416328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1358 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 441416328 is about 21009.9102330305. The cubic root of 441416328 is about 761.4057132240.

The spelling of 441416328 in words is "four hundred forty-one million, four hundred sixteen thousand, three hundred twenty-eight".