480602304 has 336 divisors, whose sum is σ = 1737433152. Its totient is φ = 123641856.

The previous prime is 480602293. The next prime is 480602351. The reversal of 480602304 is 403206084.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×480602304³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2777962 + ... + 2778134.

It is an arithmetic number, because the mean of its divisors is an integer number (5170932).

Almost surely, 2^480602304 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 480602304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868716576).

480602304 is an abundant number, since it is smaller than the sum of its proper divisors (1256830848).

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

480602304 is a wasteful number, since it uses less digits than its factorization.

480602304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 480602304 is about 21922.6436362041. The cubic root of 480602304 is about 783.3008830781.

Adding to 480602304 its reverse (403206084), we get a palindrome (883808388).

The spelling of 480602304 in words is "four hundred eighty million, six hundred two thousand, three hundred four".