1004340480 has 576 divisors, whose sum is σ = 3955875840. Its totient is φ = 213811200.

The previous prime is 1004340443. The next prime is 1004340503. The reversal of 1004340480 is 840434001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1004340480.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 17022691 + ... + 17022749.

It is an arithmetic number, because the mean of its divisors is an integer number (6867840).

Almost surely, 2^1004340480 is an apocalyptic number.

1004340480 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 1004340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977937920).

1004340480 is an abundant number, since it is smaller than the sum of its proper divisors (2951535360).

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

1004340480 is a wasteful number, since it uses less digits than its factorization.

1004340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1004340480 is about 31691.3313068416. The cubic root of 1004340480 is about 1001.4447383925. Note that the first 3 decimals are identical.

Adding to 1004340480 its reverse (840434001), we get a palindrome (1844774481).

The spelling of 1004340480 in words is "one billion, four million, three hundred forty thousand, four hundred eighty".