488390508000 has 576 divisors, whose sum is σ = 1798314073920. Its totient is φ = 125379072000.

The previous prime is 488390507959. The next prime is 488390508037. The reversal of 488390508000 is 805093884.

488390508000 is a `hidden beast` number, since 488 + 3 + 90 + 5 + 0 + 80 + 0 + 0 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 706787655 + ... + 706788345.

It is an arithmetic number, because the mean of its divisors is an integer number (3122073045).

Almost surely, 2^488390508000 is an apocalyptic number.

488390508000 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 488390508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899157036960).

488390508000 is an abundant number, since it is smaller than the sum of its proper divisors (1309923565920).

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

488390508000 is a wasteful number, since it uses less digits than its factorization.

488390508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 488390508000 in words is "four hundred eighty-eight billion, three hundred ninety million, five hundred eight thousand".