284418560 has 80 divisors (see below), whose sum is σ = 686252952. Its totient is φ = 113049600.

The previous prime is 284418557. The next prime is 284418569. The reversal of 284418560 is 65814482.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 236421376 + 47997184 = 15376^2 + 6928^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (284418569) 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, 616730 + ... + 617190.

Almost surely, 2^284418560 is an apocalyptic number.

284418560 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 284418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343126476).

284418560 is an abundant number, since it is smaller than the sum of its proper divisors (401834392).

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

284418560 is an equidigital number, since it uses as much as digits as its factorization.

284418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 284418560 is about 16864.7134573938. The cubic root of 284418560 is about 657.6366036342.

The spelling of 284418560 in words is "two hundred eighty-four million, four hundred eighteen thousand, five hundred sixty".