1004399648 has 72 divisors (see below), whose sum is σ = 2338186284. Its totient is φ = 423360000.

The previous prime is 1004399647. The next prime is 1004399689. The reversal of 1004399648 is 8469934001.

It can be written as a sum of positive squares in 2 ways, for example, as 846344464 + 158055184 = 29092^2 + 12572^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1004399599 and 1004399608.

It is not an unprimeable number, because it can be changed into a prime (1004399647) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 90398 + ... + 100898.

Almost surely, 2^1004399648 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 1004399648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169093142).

1004399648 is an abundant number, since it is smaller than the sum of its proper divisors (1333786636).

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

1004399648 is a wasteful number, since it uses less digits than its factorization.

1004399648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10586 (or 10571 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 1004399648 is about 31692.2647975811. The cubic root of 1004399648 is about 1001.4644038080.

The spelling of 1004399648 in words is "one billion, four million, three hundred ninety-nine thousand, six hundred forty-eight".