7384824225 has 81 divisors (see below), whose sum is σ = 14092687947. Its totient is φ = 3695892480.

The previous prime is 7384824211. The next prime is 7384824233. The reversal of 7384824225 is 5224284837.

The square root of 7384824225 is 85935.

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

7384824225 is a `hidden beast` number, since 7 + 384 + 8 + 242 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 4323194001 + 3061630224 = 65751^2 + 55332^2 .

It is not a de Polignac number, because 7384824225 - 2⁹ = 7384823713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21913257 + ... + 21913593.

Almost surely, 2^7384824225 is an apocalyptic number.

7384824225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7384824225 is the 85935-th square number.

7384824225 is the 42968-th centered octagonal number.

It is an amenable number.

7384824225 is a deficient number, since it is larger than the sum of its proper divisors (6707863722).

7384824225 is a wasteful number, since it uses less digits than its factorization.

7384824225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 362 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The cubic root of 7384824225 is about 1947.3621334268.

The spelling of 7384824225 in words is "seven billion, three hundred eighty-four million, eight hundred twenty-four thousand, two hundred twenty-five".