441264768 has 128 divisors (see below), whose sum is σ = 1348945920. Its totient is φ = 125193216.

The previous prime is 441264743. The next prime is 441264793. The reversal of 441264768 is 867462144.

It is an interprime number because it is at equal distance from previous prime (441264743) and next prime (441264793).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448405 + ... + 449387.

It is an arithmetic number, because the mean of its divisors is an integer number (10538640).

Almost surely, 2^441264768 is an apocalyptic number.

441264768 is a gapful number since it is divisible by the number (48) 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 441264768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674472960).

441264768 is an abundant number, since it is smaller than the sum of its proper divisors (907681152).

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

441264768 is a wasteful number, since it uses less digits than its factorization.

441264768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1162 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 441264768 is about 21006.3030540836. The cubic root of 441264768 is about 761.3185605351.

The spelling of 441264768 in words is "four hundred forty-one million, two hundred sixty-four thousand, seven hundred sixty-eight".