488317200 has 240 divisors, whose sum is σ = 1818919296. Its totient is φ = 109670400.

The previous prime is 488317199. The next prime is 488317223. The reversal of 488317200 is 2713884.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511924 + ... + 512876.

Almost surely, 2^488317200 is an apocalyptic number.

488317200 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 488317200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909459648).

488317200 is an abundant number, since it is smaller than the sum of its proper divisors (1330602096).

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

488317200 is a wasteful number, since it uses less digits than its factorization.

488317200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 488317200 is about 22097.9003527484. The cubic root of 488317200 is about 787.4699812190.

The spelling of 488317200 in words is "four hundred eighty-eight million, three hundred seventeen thousand, two hundred".