488232000 has 168 divisors, whose sum is σ = 1746744792. Its totient is φ = 130176000.

The previous prime is 488231941. The next prime is 488232001. The reversal of 488232000 is 232884.

It can be written as a sum of positive squares in 4 ways, for example, as 28901376 + 459330624 = 5376^2 + 21432^2 .

It is not an unprimeable number, because it can be changed into a prime (488232001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68610 + ... + 75390.

Almost surely, 2^488232000 is an apocalyptic number.

488232000 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 488232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873372396).

488232000 is an abundant number, since it is smaller than the sum of its proper divisors (1258512792).

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

488232000 is a wasteful number, since it uses less digits than its factorization.

488232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6814 (or 6791 counting only the distinct ones).

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

The square root of 488232000 is about 22095.9724836903. The cubic root of 488232000 is about 787.4241801531.

Adding to 488232000 its reverse (232884), we get a palindrome (488464884).

The spelling of 488232000 in words is "four hundred eighty-eight million, two hundred thirty-two thousand".