441344424 has 64 divisors (see below), whose sum is σ = 1154010240. Its totient is φ = 140391680.

The previous prime is 441344413. The next prime is 441344437. The reversal of 441344424 is 424443144.

It is a super-3 number, since 3×441344424³ (a number of 27 digits) contains 333 as substring.

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 = 441344391 and 441344400.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 373114 + ... + 374294.

It is an arithmetic number, because the mean of its divisors is an integer number (18031410).

Almost surely, 2^441344424 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 441344424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577005120).

441344424 is an abundant number, since it is smaller than the sum of its proper divisors (712665816).

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

441344424 is a wasteful number, since it uses less digits than its factorization.

441344424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1886 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

The square root of 441344424 is about 21008.1989708780. The cubic root of 441344424 is about 761.3643682126.

Adding to 441344424 its reverse (424443144), we get a palindrome (865787568).

It can be divided in two parts, 441 and 344424, that added together give a triangular number (344865 = T₈₃₀).

The spelling of 441344424 in words is "four hundred forty-one million, three hundred forty-four thousand, four hundred twenty-four".