284971344 has 160 divisors (see below), whose sum is σ = 879943680. Its totient is φ = 77760000.

The previous prime is 284971343. The next prime is 284971369. The reversal of 284971344 is 443179482.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 284971296 and 284971305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284971343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1135219 + ... + 1135469.

It is an arithmetic number, because the mean of its divisors is an integer number (5499648).

Almost surely, 2^284971344 is an apocalyptic number.

284971344 is a gapful number since it is divisible by the number (24) 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 284971344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439971840).

284971344 is an abundant number, since it is smaller than the sum of its proper divisors (594972336).

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

284971344 is a wasteful number, since it uses less digits than its factorization.

284971344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 403 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 284971344 is about 16881.0942773269. The cubic root of 284971344 is about 658.0623795654.

The spelling of 284971344 in words is "two hundred eighty-four million, nine hundred seventy-one thousand, three hundred forty-four".