486038880 has 216 divisors, whose sum is σ = 1726032672. Its totient is φ = 129330432.

The previous prime is 486038851. The next prime is 486038893. The reversal of 486038880 is 88830684.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1049529 + ... + 1049991.

It is an arithmetic number, because the mean of its divisors is an integer number (7990892).

Almost surely, 2^486038880 is an apocalyptic number.

486038880 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 486038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863016336).

486038880 is an abundant number, since it is smaller than the sum of its proper divisors (1239993792).

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

486038880 is an frugal number, since it uses more digits than its factorization.

486038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 486038880 is about 22046.2894837204. The cubic root of 486038880 is about 786.2433836348.

The spelling of 486038880 in words is "four hundred eighty-six million, thirty-eight thousand, eight hundred eighty".