284275264 has 168 divisors, whose sum is σ = 745906560. Its totient is φ = 106251264.

The previous prime is 284275261. The next prime is 284275273. The reversal of 284275264 is 462572482.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284275261) 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, 774409 + ... + 774775.

It is an arithmetic number, because the mean of its divisors is an integer number (4439920).

Almost surely, 2^284275264 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 284275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372953280).

284275264 is an abundant number, since it is smaller than the sum of its proper divisors (461631296).

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

284275264 is a wasteful number, since it uses less digits than its factorization.

284275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 408 counting only the distinct ones).

The product of its digits is 215040, while the sum is 40.

The square root of 284275264 is about 16860.4645250361. The cubic root of 284275264 is about 657.5261414040.

The spelling of 284275264 in words is "two hundred eighty-four million, two hundred seventy-five thousand, two hundred sixty-four".