444431040 has 112 divisors (see below), whose sum is σ = 1417137120. Its totient is φ = 118005760.

The previous prime is 444430999. The next prime is 444431069. The reversal of 444431040 is 40134444.

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

It is a self number, because there is not a number n which added to its sum of digits gives 444431040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257380 + ... + 259100.

It is an arithmetic number, because the mean of its divisors is an integer number (12653010).

Almost surely, 2^444431040 is an apocalyptic number.

444431040 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 444431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708568560).

444431040 is an abundant number, since it is smaller than the sum of its proper divisors (972706080).

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

444431040 is a wasteful number, since it uses less digits than its factorization.

444431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 444431040 is about 21081.5331510780. The cubic root of 444431040 is about 763.1351561625.

Adding to 444431040 its reverse (40134444), we get a palindrome (484565484).

The spelling of 444431040 in words is "four hundred forty-four million, four hundred thirty-one thousand, forty".