488307732480 has 312 divisors, whose sum is σ = 1703082287088. Its totient is φ = 129408565248.

The previous prime is 488307732469. The next prime is 488307732491. The reversal of 488307732480 is 84237703884.

488307732480 is a `hidden beast` number, since 4 + 8 + 8 + 307 + 7 + 324 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (488307732469) and next prime (488307732491).

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, 30036034 + ... + 30052286.

It is an arithmetic number, because the mean of its divisors is an integer number (5458597074).

Almost surely, 2^488307732480 is an apocalyptic number.

488307732480 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 488307732480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851541143544).

488307732480 is an abundant number, since it is smaller than the sum of its proper divisors (1214774554608).

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

488307732480 is a wasteful number, since it uses less digits than its factorization.

488307732480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16451 (or 16426 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 488307732480 in words is "four hundred eighty-eight billion, three hundred seven million, seven hundred thirty-two thousand, four hundred eighty".