284085144 has 240 divisors, whose sum is σ = 968338800. Its totient is φ = 77438592.

The previous prime is 284085103. The next prime is 284085173. The reversal of 284085144 is 441580482.

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

It is a junction number, because it is equal to n+sod(n) for n = 284085099 and 284085108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 730102 + ... + 730490.

It is an arithmetic number, because the mean of its divisors is an integer number (4034745).

Almost surely, 2^284085144 is an apocalyptic number.

284085144 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 284085144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484169400).

284085144 is an abundant number, since it is smaller than the sum of its proper divisors (684253656).

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

284085144 is a wasteful number, since it uses less digits than its factorization.

284085144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 284085144 is about 16854.8255404795. The cubic root of 284085144 is about 657.3795267616.

The spelling of 284085144 in words is "two hundred eighty-four million, eighty-five thousand, one hundred forty-four".