284013240 has 256 divisors, whose sum is σ = 1026432000. Its totient is φ = 61501440.

The previous prime is 284013239. The next prime is 284013241. The reversal of 284013240 is 42310482.

It is an interprime number because it is at equal distance from previous prime (284013239) and next prime (284013241).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 284013240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284013241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2167975 + ... + 2168105.

It is an arithmetic number, because the mean of its divisors is an integer number (4009500).

Almost surely, 2^284013240 is an apocalyptic number.

284013240 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 284013240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513216000).

284013240 is an abundant number, since it is smaller than the sum of its proper divisors (742418760).

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

284013240 is a wasteful number, since it uses less digits than its factorization.

284013240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 284013240 is about 16852.6923665033. The cubic root of 284013240 is about 657.3240595809.

The spelling of 284013240 in words is "two hundred eighty-four million, thirteen thousand, two hundred forty".