441739116 has 144 divisors (see below), whose sum is σ = 1434931680. Its totient is φ = 116484480.

The previous prime is 441739097. The next prime is 441739117. The reversal of 441739116 is 611937144.

It is a super-2 number, since 2×441739116² = 390266893208922912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (441739117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65586 + ... + 72006.

Almost surely, 2^441739116 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 441739116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717465840).

441739116 is an abundant number, since it is smaller than the sum of its proper divisors (993192564).

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

441739116 is a wasteful number, since it uses less digits than its factorization.

441739116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461 (or 6446 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 441739116 is about 21017.5906326106. The cubic root of 441739116 is about 761.5912619744.

The spelling of 441739116 in words is "four hundred forty-one million, seven hundred thirty-nine thousand, one hundred sixteen".