284338496 has 56 divisors (see below), whose sum is σ = 639653280. Its totient is φ = 124319232.

The previous prime is 284338493. The next prime is 284338529. The reversal of 284338496 is 694833482.

It is a self number, because there is not a number n which added to its sum of digits gives 284338496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284338493) 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 7 ways as a sum of consecutive naturals, for example, 6815 + ... + 24801.

It is an arithmetic number, because the mean of its divisors is an integer number (11422380).

Almost surely, 2^284338496 is an apocalyptic number.

284338496 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 284338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319826640).

284338496 is an abundant number, since it is smaller than the sum of its proper divisors (355314784).

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

284338496 is a wasteful number, since it uses less digits than its factorization.

284338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18031 (or 18021 counting only the distinct ones).

The product of its digits is 995328, while the sum is 47.

The square root of 284338496 is about 16862.3395767017. The cubic root of 284338496 is about 657.5748894732.

The spelling of 284338496 in words is "two hundred eighty-four million, three hundred thirty-eight thousand, four hundred ninety-six".