485988480 has 192 divisors, whose sum is σ = 1693036800. Its totient is φ = 128452608.

The previous prime is 485988473. The next prime is 485988491. The reversal of 485988480 is 84889584.

485988480 is a `hidden beast` number, since 4 + 8 + 598 + 8 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 800337 + ... + 800943.

It is an arithmetic number, because the mean of its divisors is an integer number (8817900).

Almost surely, 2^485988480 is an apocalyptic number.

485988480 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 485988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846518400).

485988480 is an abundant number, since it is smaller than the sum of its proper divisors (1207048320).

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

485988480 is a wasteful number, since it uses less digits than its factorization.

485988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The square root of 485988480 is about 22045.1464045944. The cubic root of 485988480 is about 786.2162060858.

It can be divided in two parts, 4859 and 88480, that added together give a palindrome (93339).

The spelling of 485988480 in words is "four hundred eighty-five million, nine hundred eighty-eight thousand, four hundred eighty".