2446387456 has 72 divisors (see below), whose sum is σ = 5128804800. Its totient is φ = 1162377216.

The previous prime is 2446387453. The next prime is 2446387457. The reversal of 2446387456 is 6547836442.

It is not an unprimeable number, because it can be changed into a prime (2446387453) 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 7 ways as a sum of consecutive naturals, for example, 958470 + ... + 961018.

It is an arithmetic number, because the mean of its divisors is an integer number (71233400).

Almost surely, 2^2446387456 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 2446387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564402400).

2446387456 is an abundant number, since it is smaller than the sum of its proper divisors (2682417344).

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

2446387456 is a wasteful number, since it uses less digits than its factorization.

2446387456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751 (or 2737 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 49.

The square root of 2446387456 is about 49460.9690159827. The cubic root of 2446387456 is about 1347.4368294420.

The spelling of 2446387456 in words is "two billion, four hundred forty-six million, three hundred eighty-seven thousand, four hundred fifty-six".