7444000 has 48 divisors (see below), whose sum is σ = 18299736. Its totient is φ = 2976000.

The previous prime is 7443979. The next prime is 7444027. The reversal of 7444000 is 4447.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 283024 + 7160976 = 532^2 + 2676^2 .

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3070 + ... + 4930.

Almost surely, 2^7444000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149868).

7444000 is an abundant number, since it is smaller than the sum of its proper divisors (10855736).

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

7444000 is a wasteful number, since it uses less digits than its factorization.

7444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1886 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 7444000 is about 2728.3694764456. The cubic root of 7444000 is about 195.2549809291.

Adding to 7444000 its reverse (4447), we get a palindrome (7448447).

The spelling of 7444000 in words is "seven million, four hundred forty-four thousand".