444029040 has 480 divisors, whose sum is σ = 1910877696. Its totient is φ = 93312000.

The previous prime is 444029039. The next prime is 444029083. The reversal of 444029040 is 40920444.

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

It is a junction number, because it is equal to n+sod(n) for n = 444028995 and 444029013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1768915 + ... + 1769165.

Almost surely, 2^444029040 is an apocalyptic number.

444029040 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 444029040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955438848).

444029040 is an abundant number, since it is smaller than the sum of its proper divisors (1466848656).

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

444029040 is a wasteful number, since it uses less digits than its factorization.

444029040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 444029040 is about 21071.9965831432. The cubic root of 444029040 is about 762.9049945636.

Adding to 444029040 its reverse (40920444), we get a palindrome (484949484).

The spelling of 444029040 in words is "four hundred forty-four million, twenty-nine thousand, forty".