488870232480 has 432 divisors, whose sum is σ = 1945243637064. Its totient is φ = 111476736000.

The previous prime is 488870232359. The next prime is 488870232481. The reversal of 488870232480 is 84232078884.

488870232480 is a `hidden beast` number, since 4 + 88 + 87 + 0 + 2 + 3 + 2 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 379835550864 + 109034681616 = 616308^2 + 330204^2 .

It is not an unprimeable number, because it can be changed into a prime (488870232481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30544480 + ... + 30560480.

Almost surely, 2^488870232480 is an apocalyptic number.

488870232480 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 488870232480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972621818532).

488870232480 is an abundant number, since it is smaller than the sum of its proper divisors (1456373404584).

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

488870232480 is a wasteful number, since it uses less digits than its factorization.

488870232480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16469 (or 16451 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 488870232480 in words is "four hundred eighty-eight billion, eight hundred seventy million, two hundred thirty-two thousand, four hundred eighty".