480820704 has 192 divisors, whose sum is σ = 1621638144. Its totient is φ = 121245696.

The previous prime is 480820621. The next prime is 480820709. The reversal of 480820704 is 407028084.

It is a super-3 number, since 3×480820704³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480820709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199732 + ... + 202124.

It is an arithmetic number, because the mean of its divisors is an integer number (8446032).

Almost surely, 2^480820704 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 480820704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810819072).

480820704 is an abundant number, since it is smaller than the sum of its proper divisors (1140817440).

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

480820704 is a wasteful number, since it uses less digits than its factorization.

480820704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 480820704 is about 21927.6242215157. The cubic root of 480820704 is about 783.4195168593.

Adding to 480820704 its reverse (407028084), we get a palindrome (887848788).

The spelling of 480820704 in words is "four hundred eighty million, eight hundred twenty thousand, seven hundred four".