488014800 has 480 divisors, whose sum is σ = 1989039360. Its totient is φ = 99532800.

The previous prime is 488014781. The next prime is 488014811. The reversal of 488014800 is 8410884.

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 95 ways as a sum of consecutive naturals, for example, 4477146 + ... + 4477254.

It is an arithmetic number, because the mean of its divisors is an integer number (4143832).

Almost surely, 2^488014800 is an apocalyptic number.

488014800 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 488014800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994519680).

488014800 is an abundant number, since it is smaller than the sum of its proper divisors (1501024560).

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

488014800 is a wasteful number, since it uses less digits than its factorization.

488014800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 488014800 is about 22091.0570140951. The cubic root of 488014800 is about 787.3073955780.

The spelling of 488014800 in words is "four hundred eighty-eight million, fourteen thousand, eight hundred".