488632320 has 312 divisors, whose sum is σ = 1855359792. Its totient is φ = 117964800.

The previous prime is 488632307. The next prime is 488632321. The reversal of 488632320 is 23236884.

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 (488632321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2027400 + ... + 2027640.

It is an arithmetic number, because the mean of its divisors is an integer number (5946666).

Almost surely, 2^488632320 is an apocalyptic number.

488632320 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 488632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927679896).

488632320 is an abundant number, since it is smaller than the sum of its proper divisors (1366727472).

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

488632320 is a wasteful number, since it uses less digits than its factorization.

488632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 488632320 is about 22105.0292919960. The cubic root of 488632320 is about 787.6393343783.

It can be divided in two parts, 48 and 8632320, that added together give a palindrome (8632368).

The spelling of 488632320 in words is "four hundred eighty-eight million, six hundred thirty-two thousand, three hundred twenty".