285348960 has 192 divisors, whose sum is σ = 1075757760. Its totient is φ = 70225920.

The previous prime is 285348953. The next prime is 285348967. The reversal of 285348960 is 69843582.

285348960 is a `hidden beast` number, since 28 + 534 + 8 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (285348953) and next prime (285348967).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285348967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53620 + ... + 58700.

It is an arithmetic number, because the mean of its divisors is an integer number (5602905).

Almost surely, 2^285348960 is an apocalyptic number.

285348960 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 285348960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537878880).

285348960 is an abundant number, since it is smaller than the sum of its proper divisors (790408800).

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

285348960 is a wasteful number, since it uses less digits than its factorization.

285348960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5118 (or 5104 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 285348960 is about 16892.2751575979. The cubic root of 285348960 is about 658.3529177887.

The spelling of 285348960 in words is "two hundred eighty-five million, three hundred forty-eight thousand, nine hundred sixty".