991924480 has 108 divisors (see below), whose sum is σ = 2440615716. Its totient is φ = 386252800.

The previous prime is 991924463. The next prime is 991924487. The reversal of 991924480 is 84429199.

It can be written as a sum of positive squares in 6 ways, for example, as 437981184 + 553943296 = 20928^2 + 23536^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 991924480.

It is not an unprimeable number, because it can be changed into a prime (991924487) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2151450 + ... + 2151910.

Almost surely, 2^991924480 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 991924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220307858).

991924480 is an abundant number, since it is smaller than the sum of its proper divisors (1448691236).

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

991924480 is an equidigital number, since it uses as much as digits as its factorization.

991924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 991924480 is about 31494.8325920301. The cubic root of 991924480 is about 997.3008813129.

The spelling of 991924480 in words is "nine hundred ninety-one million, nine hundred twenty-four thousand, four hundred eighty".