285456960 has 168 divisors, whose sum is σ = 1018495296. Its totient is φ = 76101120.

The previous prime is 285456907. The next prime is 285456967. The reversal of 285456960 is 69654582.

285456960 is a `hidden beast` number, since 2 + 85 + 4 + 569 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (285456967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75925 + ... + 79595.

It is an arithmetic number, because the mean of its divisors is an integer number (6062472).

Almost surely, 2^285456960 is an apocalyptic number.

285456960 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 285456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509247648).

285456960 is an abundant number, since it is smaller than the sum of its proper divisors (733038336).

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

285456960 is an equidigital number, since it uses as much as digits as its factorization.

285456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3703 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 285456960 is about 16895.4715826460. The cubic root of 285456960 is about 658.4359659819.

The spelling of 285456960 in words is "two hundred eighty-five million, four hundred fifty-six thousand, nine hundred sixty".