488743200 has 576 divisors, whose sum is σ = 2058618240. Its totient is φ = 111513600.

The previous prime is 488743181. The next prime is 488743201. The reversal of 488743200 is 2347884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488743201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28749592 + ... + 28749608.

It is an arithmetic number, because the mean of its divisors is an integer number (3573990).

Almost surely, 2^488743200 is an apocalyptic number.

488743200 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 488743200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029309120).

488743200 is an abundant number, since it is smaller than the sum of its proper divisors (1569875040).

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

488743200 is a wasteful number, since it uses less digits than its factorization.

488743200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 488743200 is about 22107.5371762664. The cubic root of 488743200 is about 787.6989066720.

The spelling of 488743200 in words is "four hundred eighty-eight million, seven hundred forty-three thousand, two hundred".