441113424 has 160 divisors (see below), whose sum is σ = 1259919360. Its totient is φ = 132480000.

The previous prime is 441113423. The next prime is 441113447. The reversal of 441113424 is 424311144.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 441113394 and 441113403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441113423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1757299 + ... + 1757549.

It is an arithmetic number, because the mean of its divisors is an integer number (7874496).

Almost surely, 2^441113424 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 441113424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

441113424 is an abundant number, since it is smaller than the sum of its proper divisors (818805936).

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

441113424 is a wasteful number, since it uses less digits than its factorization.

441113424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 441113424 is about 21002.7003978060. The cubic root of 441113424 is about 761.2315121386.

Adding to 441113424 its reverse (424311144), we get a palindrome (865424568).

The spelling of 441113424 in words is "four hundred forty-one million, one hundred thirteen thousand, four hundred twenty-four".