488838000 has 320 divisors, whose sum is σ = 1834739712. Its totient is φ = 109670400.

The previous prime is 488837989. The next prime is 488838013. The reversal of 488838000 is 838884.

It is a self number, because there is not a number n which added to its sum of digits gives 488838000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4325944 + ... + 4326056.

Almost surely, 2^488838000 is an apocalyptic number.

488838000 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 488838000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917369856).

488838000 is an abundant number, since it is smaller than the sum of its proper divisors (1345901712).

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

488838000 is a wasteful number, since it uses less digits than its factorization.

488838000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 488838000 is about 22109.6811374565. The cubic root of 488838000 is about 787.7498325494.

The spelling of 488838000 in words is "four hundred eighty-eight million, eight hundred thirty-eight thousand".