285367264 has 144 divisors (see below), whose sum is σ = 721278432. Its totient is φ = 108186624.

The previous prime is 285367261. The next prime is 285367309. The reversal of 285367264 is 462763582.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 285367264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (285367261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5384262 + ... + 5384314.

It is an arithmetic number, because the mean of its divisors is an integer number (5008878).

Almost surely, 2^285367264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 285367264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360639216).

285367264 is an abundant number, since it is smaller than the sum of its proper divisors (435911168).

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

285367264 is a wasteful number, since it uses less digits than its factorization.

285367264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 118 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 285367264 is about 16892.8169350171. The cubic root of 285367264 is about 658.3669943942.

The spelling of 285367264 in words is "two hundred eighty-five million, three hundred sixty-seven thousand, two hundred sixty-four".