1004840448 has 160 divisors (see below), whose sum is σ = 2828390400. Its totient is φ = 316538880.

The previous prime is 1004840429. The next prime is 1004840449. The reversal of 1004840448 is 8440484001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004840449) 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 15 ways as a sum of consecutive naturals, for example, 2237728 + ... + 2238176.

It is an arithmetic number, because the mean of its divisors is an integer number (17677440).

Almost surely, 2^1004840448 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 1004840448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414195200).

1004840448 is an abundant number, since it is smaller than the sum of its proper divisors (1823549952).

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

1004840448 is an equidigital number, since it uses as much as digits as its factorization.

1004840448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 1004840448 is about 31699.2184130776. The cubic root of 1004840448 is about 1001.6108863185.

The spelling of 1004840448 in words is "one billion, four million, eight hundred forty thousand, four hundred forty-eight".