488640 has 56 divisors (see below), whose sum is σ = 1554480. Its totient is φ = 130048.

The previous prime is 488639. The next prime is 488641. The reversal of 488640 is 46884.

It is an interprime number because it is at equal distance from previous prime (488639) and next prime (488641).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 488598 and 488607.

It is not an unprimeable number, because it can be changed into a prime (488641) 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, 706 + ... + 1214.

2⁴⁸⁸⁶⁴⁰ is an apocalyptic number.

488640 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 488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777240).

488640 is an abundant number, since it is smaller than the sum of its proper divisors (1065840).

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

488640 is a wasteful number, since it uses less digits than its factorization.

488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 488640 is about 699.0278964390. The cubic root of 488640 is about 78.7643460888.

It can be divided in two parts, 488 and 640, that added together give a triangular number (1128 = T₄₇).

The spelling of 488640 in words is "four hundred eighty-eight thousand, six hundred forty".