285480 has 96 divisors (see below), whose sum is σ = 1015560. Its totient is φ = 69120.

The previous prime is 285473. The next prime is 285497. The reversal of 285480 is 84582.

285480 = T₁₃₅ + T₁₃₆ + ... + T₁₆₀.

285480 = 19³ + 20³ + ... + 33³.

It can be written as a sum of positive squares in 4 ways, for example, as 93636 + 191844 = 306^2 + 438^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 285480.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4650 + ... + 4710.

2²⁸⁵⁴⁸⁰ is an apocalyptic number.

285480 is a gapful number since it is divisible by the number (20) 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 285480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507780).

285480 is an abundant number, since it is smaller than the sum of its proper divisors (730080).

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

285480 is a wasteful number, since it uses less digits than its factorization.

285480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 285480 is about 534.3032846614. The cubic root of 285480 is about 65.8453680219.

The spelling of 285480 in words is "two hundred eighty-five thousand, four hundred eighty".