1444896 has 72 divisors (see below), whose sum is σ = 4275180. Its totient is φ = 462336.

The previous prime is 1444873. The next prime is 1444897. The reversal of 1444896 is 6984441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1354896 + 90000 = 1164^2 + 300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1444896.

It is not an unprimeable number, because it can be changed into a prime (1444897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8266 + ... + 8438.

2^1444896 is an apocalyptic number.

1444896 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 1444896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137590).

1444896 is an abundant number, since it is smaller than the sum of its proper divisors (2830284).

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

1444896 is a wasteful number, since it uses less digits than its factorization.

1444896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 1444896 is about 1202.0382689416. The cubic root of 1444896 is about 113.0521595940.

The spelling of 1444896 in words is "one million, four hundred forty-four thousand, eight hundred ninety-six".