7480224 has 72 divisors (see below), whose sum is σ = 22407840. Its totient is φ = 2360448.

The previous prime is 7480223. The next prime is 7480229. The reversal of 7480224 is 4220847.

It is a Cunningham number, because it is equal to 2735²-1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7480223) 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, 4789 + ... + 6155.

It is an arithmetic number, because the mean of its divisors is an integer number (311220).

Almost surely, 2^7480224 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 7480224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203920).

7480224 is an abundant number, since it is smaller than the sum of its proper divisors (14927616).

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

7480224 is a wasteful number, since it uses less digits than its factorization.

7480224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 7480224 is about 2734.9998171846. Note that the first 3 decimals coincide. The cubic root of 7480224 is about 195.5711852368.

The spelling of 7480224 in words is "seven million, four hundred eighty thousand, two hundred twenty-four".