284540256 has 576 divisors, whose sum is σ = 1158312960. Its totient is φ = 66769920.

The previous prime is 284540233. The next prime is 284540261. The reversal of 284540256 is 652045482.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 284540256.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6054025 + ... + 6054071.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^284540256 is an apocalyptic number.

284540256 is a gapful number since it is divisible by the number (26) 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 284540256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579156480).

284540256 is an abundant number, since it is smaller than the sum of its proper divisors (873772704).

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

284540256 is a wasteful number, since it uses less digits than its factorization.

284540256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 284540256 is about 16868.3210782816. The cubic root of 284540256 is about 657.7303859953.

The spelling of 284540256 in words is "two hundred eighty-four million, five hundred forty thousand, two hundred fifty-six".