480718560 has 192 divisors, whose sum is σ = 1742694912. Its totient is φ = 109111296.

The previous prime is 480718549. The next prime is 480718583. The reversal of 480718560 is 65817084.

It is a super-3 number, since 3×480718560³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

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, 580867 + ... + 581693.

It is an arithmetic number, because the mean of its divisors is an integer number (9076536).

Almost surely, 2^480718560 is an apocalyptic number.

480718560 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 480718560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871347456).

480718560 is an abundant number, since it is smaller than the sum of its proper divisors (1261976352).

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

480718560 is a wasteful number, since it uses less digits than its factorization.

480718560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 480718560 is about 21925.2949809119. The cubic root of 480718560 is about 783.3640372252.

The spelling of 480718560 in words is "four hundred eighty million, seven hundred eighteen thousand, five hundred sixty".