441713664 has 264 divisors, whose sum is σ = 1502137728. Its totient is φ = 122388480.

The previous prime is 441713663. The next prime is 441713677. The reversal of 441713664 is 466317144.

It is a super-2 number, since 2×441713664² = 390221921928609792, 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 (441713663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2644909 + ... + 2645075.

Almost surely, 2^441713664 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 441713664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751068864).

441713664 is an abundant number, since it is smaller than the sum of its proper divisors (1060424064).

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

441713664 is a wasteful number, since it uses less digits than its factorization.

441713664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 441713664 is about 21016.9851310791. The cubic root of 441713664 is about 761.5766346432.

It can be divided in two parts, 4417 and 13664, that added together give a palindrome (18081).

The spelling of 441713664 in words is "four hundred forty-one million, seven hundred thirteen thousand, six hundred sixty-four".