489600 has 144 divisors (see below), whose sum is σ = 1849770. Its totient is φ = 122880.

The previous prime is 489571. The next prime is 489613. The reversal of 489600 is 6984.

It can be written as a sum of positive squares in 3 ways, for example, as 419904 + 69696 = 648^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 489600.

It is an unprimeable number.

489600 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28792 + ... + 28808.

2⁴⁸⁹⁶⁰⁰ is an apocalyptic number.

489600 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 489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924885).

489600 is an abundant number, since it is smaller than the sum of its proper divisors (1360170).

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

489600 is a wasteful number, since it uses less digits than its factorization.

489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 489600 is about 699.7142273814. The cubic root of 489600 is about 78.8158934505.

It can be divided in two parts, 489 and 600, that added together give a square (1089 = 33²).

The spelling of 489600 in words is "four hundred eighty-nine thousand, six hundred".