1004415048 has 192 divisors, whose sum is σ = 3430627200. Its totient is φ = 258370560.

The previous prime is 1004415043. The next prime is 1004415067. The reversal of 1004415048 is 8405144001.

It is a happy number.

1004415048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1004415043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266763 + ... + 270501.

It is an arithmetic number, because the mean of its divisors is an integer number (17867850).

Almost surely, 2^1004415048 is an apocalyptic number.

1004415048 is a gapful number since it is divisible by the number (18) 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 1004415048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715313600).

1004415048 is an abundant number, since it is smaller than the sum of its proper divisors (2426212152).

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

1004415048 is a wasteful number, since it uses less digits than its factorization.

1004415048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1004415048 is about 31692.5077581437. The cubic root of 1004415048 is about 1001.4695221136.

Adding to 1004415048 its reverse (8405144001), we get a palindrome (9409559049).

The spelling of 1004415048 in words is "one billion, four million, four hundred fifteen thousand, forty-eight".