444440304 has 320 divisors, whose sum is σ = 1645608960. Its totient is φ = 111456000.

The previous prime is 444440291. The next prime is 444440371. The reversal of 444440304 is 403044444.

It is a super-2 number, since 2×444440304² = 395054367639224832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1030969 + ... + 1031399.

It is an arithmetic number, because the mean of its divisors is an integer number (5142528).

Almost surely, 2^444440304 is an apocalyptic number.

444440304 is a gapful number since it is divisible by the number (44) 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 444440304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822804480).

444440304 is an abundant number, since it is smaller than the sum of its proper divisors (1201168656).

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

444440304 is a wasteful number, since it uses less digits than its factorization.

444440304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 444440304 is about 21081.7528682982. The cubic root of 444440304 is about 763.1404585487.

Adding to 444440304 its reverse (403044444), we get a palindrome (847484748).

The spelling of 444440304 in words is "four hundred forty-four million, four hundred forty thousand, three hundred four".