488033000 has 256 divisors, whose sum is σ = 1459261440. Its totient is φ = 148608000.

The previous prime is 488032999. The next prime is 488033009. The reversal of 488033000 is 330884.

488033000 = T₁₂₉ + T₁₃₀ + ... + T₁₄₃₀.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (488033009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2820914 + ... + 2821086.

It is an arithmetic number, because the mean of its divisors is an integer number (5700240).

Almost surely, 2^488033000 is an apocalyptic number.

488033000 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 488033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729630720).

488033000 is an abundant number, since it is smaller than the sum of its proper divisors (971228440).

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

488033000 is a wasteful number, since it uses less digits than its factorization.

488033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 488033000 is about 22091.4689416526. The cubic root of 488033000 is about 787.3171827241.

Adding to 488033000 its reverse (330884), we get a palindrome (488363884).

The spelling of 488033000 in words is "four hundred eighty-eight million, thirty-three thousand".