480656320 has 56 divisors (see below), whose sum is σ = 1158416784. Its totient is φ = 189935616.

The previous prime is 480656291. The next prime is 480656327. The reversal of 480656320 is 23656084.

It is a happy number.

It is a super-3 number, since 3×480656320³ (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 (480656327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17512 + ... + 35608.

It is an arithmetic number, because the mean of its divisors is an integer number (20686014).

Almost surely, 2^480656320 is an apocalyptic number.

480656320 is a gapful number since it is divisible by the number (40) 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 480656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579208392).

480656320 is an abundant number, since it is smaller than the sum of its proper divisors (677760464).

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

480656320 is a wasteful number, since it uses less digits than its factorization.

480656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18197 (or 18187 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 480656320 is about 21923.8755697983. The cubic root of 480656320 is about 783.3302276422.

The spelling of 480656320 in words is "four hundred eighty million, six hundred fifty-six thousand, three hundred twenty".