488023029000 has 1024 divisors, whose sum is σ = 1942641792000. Its totient is φ = 112662835200.

The previous prime is 488023028989. The next prime is 488023029007. The reversal of 488023029000 is 920320884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (488023029007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1724462859 + ... + 1724463141.

It is an arithmetic number, because the mean of its divisors is an integer number (1897111125).

Almost surely, 2^488023029000 is an apocalyptic number.

488023029000 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 488023029000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971320896000).

488023029000 is an abundant number, since it is smaller than the sum of its proper divisors (1454618763000).

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

488023029000 is a wasteful number, since it uses less digits than its factorization.

488023029000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 488023029000 its reverse (920320884), we get a palindrome (488943349884).

The spelling of 488023029000 in words is "four hundred eighty-eight billion, twenty-three million, twenty-nine thousand".