7448380416 has 297 divisors, whose sum is σ = 23015933733. Its totient is φ = 2319851520.

The previous prime is 7448380393. The next prime is 7448380439. The reversal of 7448380416 is 6140838447.

The square root of 7448380416 is 86304.

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

It is an interprime number because it is at equal distance from previous prime (7448380393) and next prime (7448380439).

It can be written as a sum of positive squares in only one way, i.e., 3905750016 + 3542630400 = 62496^2 + 59520^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 240270321 + ... + 240270351.

Almost surely, 2^7448380416 is an apocalyptic number.

7448380416 is the 86304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7448380416

7448380416 is an abundant number, since it is smaller than the sum of its proper divisors (15567553317).

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

7448380416 is a wasteful number, since it uses less digits than its factorization.

7448380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The cubic root of 7448380416 is about 1952.9327263297.

The spelling of 7448380416 in words is "seven billion, four hundred forty-eight million, three hundred eighty thousand, four hundred sixteen".