488492242560 has 768 divisors, whose sum is σ = 2017858003200. Its totient is φ = 111360614400.

The previous prime is 488492242547. The next prime is 488492242571. The reversal of 488492242560 is 65242294884.

488492242560 is a `hidden beast` number, since 4 + 88 + 492 + 24 + 2 + 56 + 0 = 666.

It is a super-3 number, since 3×488492242560³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 488492242497 and 488492242506.

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, 593550309 + ... + 593551131.

It is an arithmetic number, because the mean of its divisors is an integer number (2627419275).

Almost surely, 2^488492242560 is an apocalyptic number.

488492242560 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 488492242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008929001600).

488492242560 is an abundant number, since it is smaller than the sum of its proper divisors (1529365760640).

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

488492242560 is a wasteful number, since it uses less digits than its factorization.

488492242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1566 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 488492242560 in words is "four hundred eighty-eight billion, four hundred ninety-two million, two hundred forty-two thousand, five hundred sixty".