7441984 has 63 divisors (see below), whose sum is σ = 16772763. Its totient is φ = 3273600.

The previous prime is 7441981. The next prime is 7441997. The reversal of 7441984 is 4891447.

The square root of 7441984 is 2728.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

Its product of digits (32256) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (7441981) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 240049 + ... + 240079.

Almost surely, 2^7441984 is an apocalyptic number.

7441984 is the 2728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7441984

7441984 is an abundant number, since it is smaller than the sum of its proper divisors (9330779).

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

7441984 is a wasteful number, since it uses less digits than its factorization.

7441984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 44 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The cubic root of 7441984 is about 195.2373528805.

It can be divided in two parts, 744198 and 4, that multiplied together give a palindrome (2976792).

The spelling of 7441984 in words is "seven million, four hundred forty-one thousand, nine hundred eighty-four".