488320 has 64 divisors (see below), whose sum is σ = 1346400. Its totient is φ = 165888.

The previous prime is 488317. The next prime is 488321. The reversal of 488320 is 23884.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4426 + ... + 4534.

2⁴⁸⁸³²⁰ is an apocalyptic number.

488320 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 488320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673200).

488320 is an abundant number, since it is smaller than the sum of its proper divisors (858080).

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

488320 is a wasteful number, since it uses less digits than its factorization.

488320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 488320 is about 698.7989696615. The cubic root of 488320 is about 78.7471486328.

It can be divided in two parts, 488 and 320, that added together give a palindrome (808).

The spelling of 488320 in words is "four hundred eighty-eight thousand, three hundred twenty".