1004844960 has 576 divisors, whose sum is σ = 4219568640. Its totient is φ = 222566400.

The previous prime is 1004844937. The next prime is 1004845013. The reversal of 1004844960 is 694484001.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9948910 + ... + 9949010.

It is an arithmetic number, because the mean of its divisors is an integer number (7325640).

Almost surely, 2^1004844960 is an apocalyptic number.

1004844960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004844960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2109784320).

1004844960 is an abundant number, since it is smaller than the sum of its proper divisors (3214723680).

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

1004844960 is a wasteful number, since it uses less digits than its factorization.

1004844960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1004844960 is about 31699.2895819449. The cubic root of 1004844960 is about 1001.6123854824.

The spelling of 1004844960 in words is "one billion, four million, eight hundred forty-four thousand, nine hundred sixty".