486303205248 has 256 divisors, whose sum is σ = 1652840640000. Its totient is φ = 137882234880.

The previous prime is 486303205243. The next prime is 486303205253. The reversal of 486303205248 is 842502303684.

486303205248 is a `hidden beast` number, since 4 + 8 + 630 + 3 + 2 + 0 + 5 + 2 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (486303205243) and next prime (486303205253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (486303205243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3092428 + ... + 3245876.

It is an arithmetic number, because the mean of its divisors is an integer number (6456408750).

Almost surely, 2^486303205248 is an apocalyptic number.

486303205248 is a gapful number since it is divisible by the number (48) 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 486303205248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826420320000).

486303205248 is an abundant number, since it is smaller than the sum of its proper divisors (1166537434752).

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

486303205248 is a wasteful number, since it uses less digits than its factorization.

486303205248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153610 (or 153592 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 486303205248 in words is "four hundred eighty-six billion, three hundred three million, two hundred five thousand, two hundred forty-eight".