444046240 has 96 divisors (see below), whose sum is σ = 1152434304. Its totient is φ = 160343040.

The previous prime is 444046217. The next prime is 444046241. The reversal of 444046240 is 42640444.

It is a junction number, because it is equal to n+sod(n) for n = 444046199 and 444046208.

It is not an unprimeable number, because it can be changed into a prime (444046241) 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, 275517 + ... + 277123.

It is an arithmetic number, because the mean of its divisors is an integer number (12004524).

Almost surely, 2^444046240 is an apocalyptic number.

444046240 is a gapful number since it is divisible by the number (40) 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 444046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576217152).

444046240 is an abundant number, since it is smaller than the sum of its proper divisors (708388064).

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

444046240 is a wasteful number, since it uses less digits than its factorization.

444046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 444046240 is about 21072.4047037826. The cubic root of 444046240 is about 762.9148451179.

Adding to 444046240 its reverse (42640444), we get a palindrome (486686684).

The spelling of 444046240 in words is "four hundred forty-four million, forty-six thousand, two hundred forty".