441311416 has 64 divisors (see below), whose sum is σ = 1024934400. Its totient is φ = 173467008.

The previous prime is 441311407. The next prime is 441311441. The reversal of 441311416 is 614113144.

It is a happy number.

It is a congruent number.

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, 116805 + ... + 120523.

It is an arithmetic number, because the mean of its divisors is an integer number (16014600).

Almost surely, 2^441311416 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 441311416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512467200).

441311416 is an abundant number, since it is smaller than the sum of its proper divisors (583622984).

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

441311416 is a wasteful number, since it uses less digits than its factorization.

441311416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3904 counting only the distinct ones).

The product of its digits is 1152, while the sum is 25.

The square root of 441311416 is about 21007.4133581457. The cubic root of 441311416 is about 761.3453870117.

The spelling of 441311416 in words is "four hundred forty-one million, three hundred eleven thousand, four hundred sixteen".