284253768 has 48 divisors (see below), whose sum is σ = 771252300. Its totient is φ = 94579200.

The previous prime is 284253743. The next prime is 284253811. The reversal of 284253768 is 867352482.

It can be written as a sum of positive squares in 2 ways, for example, as 237221604 + 47032164 = 15402^2 + 6858^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39988 + ... + 46556.

Almost surely, 2^284253768 is an apocalyptic number.

It is an amenable number.

284253768 is an abundant number, since it is smaller than the sum of its proper divisors (486998532).

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

284253768 is a wasteful number, since it uses less digits than its factorization.

284253768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7182 (or 7175 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 284253768 is about 16859.8270453762. The cubic root of 284253768 is about 657.5095676344.

The spelling of 284253768 in words is "two hundred eighty-four million, two hundred fifty-three thousand, seven hundred sixty-eight".