1744444416 has 396 divisors, whose sum is σ = 5808747336. Its totient is φ = 462274560.

The previous prime is 1744444391. The next prime is 1744444421. The reversal of 1744444416 is 6144444471.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (172032) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 91812855 + ... + 91812873.

Almost surely, 2^1744444416 is an apocalyptic number.

1744444416 is a gapful number since it is divisible by the number (16) 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 1744444416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904373668).

1744444416 is an abundant number, since it is smaller than the sum of its proper divisors (4064302920).

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

1744444416 is a wasteful number, since it uses less digits than its factorization.

1744444416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its digits is 172032, while the sum is 39.

The square root of 1744444416 is about 41766.5466132885. The cubic root of 1744444416 is about 1203.7945661866.

Multiplying 1744444416 by its sum of digits (39), we get a square (68033332224 = 260832²).

1744444416 divided by its sum of digits (39) gives a square (44729344 = 6688²).

Adding to 1744444416 its reverse (6144444471), we get a palindrome (7888888887).

The spelling of 1744444416 in words is "one billion, seven hundred forty-four million, four hundred forty-four thousand, four hundred sixteen".