488365800 has 384 divisors, whose sum is σ = 1799884800. Its totient is φ = 108380160.

The previous prime is 488365793. The next prime is 488365819. The reversal of 488365800 is 8563884.

It is a Cunningham number, because it is equal to 22099²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3845337 + ... + 3845463.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^488365800 is an apocalyptic number.

488365800 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 488365800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899942400).

488365800 is an abundant number, since it is smaller than the sum of its proper divisors (1311519000).

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

488365800 is a wasteful number, since it uses less digits than its factorization.

488365800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 488365800 is about 22098.9999773745. Note that the first 4 decimals coincide. The cubic root of 488365800 is about 787.4961047930.

The spelling of 488365800 in words is "four hundred eighty-eight million, three hundred sixty-five thousand, eight hundred".