485600 has 36 divisors (see below), whose sum is σ = 1187424. Its totient is φ = 193920.

The previous prime is 485593. The next prime is 485603. The reversal of 485600 is 6584.

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 485600.

It is not an unprimeable number, because it can be changed into a prime (485603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 497 + ... + 1103.

It is an arithmetic number, because the mean of its divisors is an integer number (32984).

2⁴⁸⁵⁶⁰⁰ is an apocalyptic number.

485600 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 485600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593712).

485600 is an abundant number, since it is smaller than the sum of its proper divisors (701824).

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

485600 is a wasteful number, since it uses less digits than its factorization.

485600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 485600 is about 696.8500556074. The cubic root of 485600 is about 78.6006660179.

The spelling of 485600 in words is "four hundred eighty-five thousand, six hundred".