285484320 has 288 divisors, whose sum is σ = 1082652480. Its totient is φ = 67921920.

The previous prime is 285484319. The next prime is 285484327. The reversal of 285484320 is 23484582.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (285484327) 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 47 ways as a sum of consecutive naturals, for example, 1061146 + ... + 1061414.

It is an arithmetic number, because the mean of its divisors is an integer number (3759210).

Almost surely, 2^285484320 is an apocalyptic number.

285484320 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 285484320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541326240).

285484320 is an abundant number, since it is smaller than the sum of its proper divisors (797168160).

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

285484320 is a wasteful number, since it uses less digits than its factorization.

285484320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 285484320 is about 16896.2812476592. The cubic root of 285484320 is about 658.4570015320.

The spelling of 285484320 in words is "two hundred eighty-five million, four hundred eighty-four thousand, three hundred twenty".