7941456 has 80 divisors (see below), whose sum is σ = 23569920. Its totient is φ = 2557440.

The previous prime is 7941419. The next prime is 7941457. The reversal of 7941456 is 6541497.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 7⁸ + 9² + 4¹⁰ + 1 + 4¹⁰ + 5⁷ + 6⁴ .

It is a self number, because there is not a number n which added to its sum of digits gives 7941456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7941457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13096 + ... + 13688.

It is an arithmetic number, because the mean of its divisors is an integer number (294624).

Almost surely, 2^7941456 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 7941456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11784960).

7941456 is an abundant number, since it is smaller than the sum of its proper divisors (15628464).

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

7941456 is a wasteful number, since it uses less digits than its factorization.

7941456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 629 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 7941456 is about 2818.0589064106. The cubic root of 7941456 is about 199.5109384019.

The spelling of 7941456 in words is "seven million, nine hundred forty-one thousand, four hundred fifty-six".