441348264 has 224 divisors, whose sum is σ = 1495224000. Its totient is φ = 119252736.

The previous prime is 441348239. The next prime is 441348269. The reversal of 441348264 is 462843144.

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 (441348269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 775372 + ... + 775940.

Almost surely, 2^441348264 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 441348264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747612000).

441348264 is an abundant number, since it is smaller than the sum of its proper divisors (1053875736).

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

441348264 is a wasteful number, since it uses less digits than its factorization.

441348264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 600 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 441348264 is about 21008.2903635684. The cubic root of 441348264 is about 761.3665763374.

The spelling of 441348264 in words is "four hundred forty-one million, three hundred forty-eight thousand, two hundred sixty-four".