488023200 has 432 divisors, whose sum is σ = 2057118336. Its totient is φ = 106444800.

The previous prime is 488023169. The next prime is 488023201. The reversal of 488023200 is 2320884.

It is not an unprimeable number, because it can be changed into a prime (488023201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1158990 + ... + 1159410.

It is an arithmetic number, because the mean of its divisors is an integer number (4761848).

Almost surely, 2^488023200 is an apocalyptic number.

488023200 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 488023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028559168).

488023200 is an abundant number, since it is smaller than the sum of its proper divisors (1569095136).

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

488023200 is a wasteful number, since it uses less digits than its factorization.

488023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 488023200 is about 22091.2471354607. The cubic root of 488023200 is about 787.3119127526.

The spelling of 488023200 in words is "four hundred eighty-eight million, twenty-three thousand, two hundred".