486007841520 has 480 divisors, whose sum is σ = 1836239258880. Its totient is φ = 114472673280.

The previous prime is 486007841497. The next prime is 486007841551. The reversal of 486007841520 is 25148700684.

486007841520 is a `hidden beast` number, since 4 + 8 + 600 + 7 + 8 + 4 + 15 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 24874155 + ... + 24893685.

It is an arithmetic number, because the mean of its divisors is an integer number (3825498456).

Almost surely, 2^486007841520 is an apocalyptic number.

486007841520 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 486007841520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918119629440).

486007841520 is an abundant number, since it is smaller than the sum of its proper divisors (1350231417360).

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

486007841520 is a wasteful number, since it uses less digits than its factorization.

486007841520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19693 (or 19684 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 486007841520 in words is "four hundred eighty-six billion, seven million, eight hundred forty-one thousand, five hundred twenty".