488976000 has 256 divisors, whose sum is σ = 1657393920. Its totient is φ = 127488000.

The previous prime is 488975999. The next prime is 488976013. The reversal of 488976000 is 679884.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2927917 + ... + 2928083.

It is an arithmetic number, because the mean of its divisors is an integer number (6474195).

Almost surely, 2^488976000 is an apocalyptic number.

488976000 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 488976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828696960).

488976000 is an abundant number, since it is smaller than the sum of its proper divisors (1168417920).

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

488976000 is a wasteful number, since it uses less digits than its factorization.

488976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 488976000 is about 22112.8017220795. The cubic root of 488976000 is about 787.8239533889.

The spelling of 488976000 in words is "four hundred eighty-eight million, nine hundred seventy-six thousand".