441146940 has 288 divisors, whose sum is σ = 1501893120. Its totient is φ = 95883264.

The previous prime is 441146939. The next prime is 441146947. The reversal of 441146940 is 49641144.

It is a super-3 number, since 3×441146940³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441146947) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4282929 + ... + 4283031.

Almost surely, 2^441146940 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 441146940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750946560).

441146940 is an abundant number, since it is smaller than the sum of its proper divisors (1060746180).

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

441146940 is a wasteful number, since it uses less digits than its factorization.

441146940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 441146940 is about 21003.4982800485. The cubic root of 441146940 is about 761.2507912233.

The spelling of 441146940 in words is "four hundred forty-one million, one hundred forty-six thousand, nine hundred forty".