441312240 has 80 divisors (see below), whose sum is σ = 1440086400. Its totient is φ = 111488256.

The previous prime is 441312239. The next prime is 441312241. The reversal of 441312240 is 42213144.

It is an interprime number because it is at equal distance from previous prime (441312239) and next prime (441312241).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441312241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43830 + ... + 52949.

It is an arithmetic number, because the mean of its divisors is an integer number (18001080).

Almost surely, 2^441312240 is an apocalyptic number.

441312240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

441312240 is an abundant number, since it is smaller than the sum of its proper divisors (998774160).

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

441312240 is a wasteful number, since it uses less digits than its factorization.

441312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96814 (or 96808 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 441312240 is about 21007.4329702608. The cubic root of 441312240 is about 761.3458608631.

Adding to 441312240 its reverse (42213144), we get a palindrome (483525384).

It can be divided in two parts, 4413 and 12240, that added together give a triangular number (16653 = T₁₈₂).

The spelling of 441312240 in words is "four hundred forty-one million, three hundred twelve thousand, two hundred forty".