7438224 has 40 divisors (see below), whose sum is σ = 19325152. Its totient is φ = 2465280.

The previous prime is 7438219. The next prime is 7438241. The reversal of 7438224 is 4228347.

7438224 is nontrivially palindromic in base 15.

It is a d-powerful number, because it can be written as 7 + 4² + 3¹⁴ + 8⁵ + 2¹⁹ + 2²¹ + 4⁵ .

It is a junction number, because it is equal to n+sod(n) for n = 7438191 and 7438200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11247 + ... + 11889.

Almost surely, 2^7438224 is an apocalyptic number.

It is an amenable number.

7438224 is an abundant number, since it is smaller than the sum of its proper divisors (11886928).

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

7438224 is a wasteful number, since it uses less digits than its factorization.

7438224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 889 counting only the distinct ones).

The product of its digits is 10752, while the sum is 30.

The square root of 7438224 is about 2727.3107633711. The cubic root of 7438224 is about 195.2044666630.

The spelling of 7438224 in words is "seven million, four hundred thirty-eight thousand, two hundred twenty-four".