480104004 has 96 divisors (see below), whose sum is σ = 1220365440. Its totient is φ = 146341888.

The previous prime is 480103999. The next prime is 480104029. The reversal of 480104004 is 400401084.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1359892 + ... + 1360244.

It is an arithmetic number, because the mean of its divisors is an integer number (12712140).

Almost surely, 2^480104004 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 480104004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610182720).

480104004 is an abundant number, since it is smaller than the sum of its proper divisors (740261436).

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

480104004 is a wasteful number, since it uses less digits than its factorization.

480104004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 480104004 is about 21911.2757273510. The cubic root of 480104004 is about 783.0300744130.

Adding to 480104004 its reverse (400401084), we get a palindrome (880505088).

The spelling of 480104004 in words is "four hundred eighty million, one hundred four thousand, four".