7444960 has 96 divisors (see below), whose sum is σ = 19353600. Its totient is φ = 2695680.

The previous prime is 7444951. The next prime is 7444961. The reversal of 7444960 is 694447.

7444960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7444961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94201 + ... + 94279.

It is an arithmetic number, because the mean of its divisors is an integer number (201600).

Almost surely, 2^7444960 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 7444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9676800).

7444960 is an abundant number, since it is smaller than the sum of its proper divisors (11908640).

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

7444960 is a wasteful number, since it uses less digits than its factorization.

7444960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 7444960 is about 2728.5454000254. The cubic root of 7444960 is about 195.2633741193.

The spelling of 7444960 in words is "seven million, four hundred forty-four thousand, nine hundred sixty".