485760 has 128 divisors (see below), whose sum is σ = 1762560. Its totient is φ = 112640.

The previous prime is 485753. The next prime is 485777. The reversal of 485760 is 67584.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

485760 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 15 ways as a sum of consecutive naturals, for example, 21109 + ... + 21131.

It is an arithmetic number, because the mean of its divisors is an integer number (13770).

2⁴⁸⁵⁷⁶⁰ is an apocalyptic number.

485760 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 485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881280).

485760 is an abundant number, since it is smaller than the sum of its proper divisors (1276800).

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

485760 is a wasteful number, since it uses less digits than its factorization.

485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 485760 is about 696.9648484680. The cubic root of 485760 is about 78.6092977625.

The spelling of 485760 in words is "four hundred eighty-five thousand, seven hundred sixty".