488904192000 has 1248 divisors, whose sum is σ = 2104990018560. Its totient is φ = 106728652800.

The previous prime is 488904191957. The next prime is 488904192017. The reversal of 488904192000 is 291409884.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 741887671 + ... + 741888329.

It is an arithmetic number, because the mean of its divisors is an integer number (1686690720).

Almost surely, 2^488904192000 is an apocalyptic number.

488904192000 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 488904192000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052495009280).

488904192000 is an abundant number, since it is smaller than the sum of its proper divisors (1616085826560).

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

488904192000 is a wasteful number, since it uses less digits than its factorization.

488904192000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 488904192000 in words is "four hundred eighty-eight billion, nine hundred four million, one hundred ninety-two thousand".