444434040 has 160 divisors (see below), whose sum is σ = 1502820000. Its totient is φ = 117801216.

The previous prime is 444434017. The next prime is 444434099. The reversal of 444434040 is 40434444.

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 = 444433995 and 444434013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 741661 + ... + 742259.

It is an arithmetic number, because the mean of its divisors is an integer number (9392625).

Almost surely, 2^444434040 is an apocalyptic number.

444434040 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 444434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751410000).

444434040 is an abundant number, since it is smaller than the sum of its proper divisors (1058385960).

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

444434040 is a wasteful number, since it uses less digits than its factorization.

444434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 838 counting only the distinct ones).

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

The square root of 444434040 is about 21081.6043032782. The cubic root of 444434040 is about 763.1368732645.

Adding to 444434040 its reverse (40434444), we get a palindrome (484868484).

The spelling of 444434040 in words is "four hundred forty-four million, four hundred thirty-four thousand, forty".