441317120 has 72 divisors (see below), whose sum is σ = 1071800016. Its totient is φ = 174071808.

The previous prime is 441317089. The next prime is 441317171. The reversal of 441317120 is 21713144.

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 7 ways as a sum of consecutive naturals, for example, 91079 + ... + 95801.

Almost surely, 2^441317120 is an apocalyptic number.

441317120 is a gapful number since it is divisible by the number (40) 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 441317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535900008).

441317120 is an abundant number, since it is smaller than the sum of its proper divisors (630482896).

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

441317120 is an equidigital number, since it uses as much as digits as its factorization.

441317120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4817 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 441317120 is about 21007.5491193047. The cubic root of 441317120 is about 761.3486671560.

The spelling of 441317120 in words is "four hundred forty-one million, three hundred seventeen thousand, one hundred twenty".