284218380 has 72 divisors (see below), whose sum is σ = 868987392. Its totient is φ = 75188736.

The previous prime is 284218369. The next prime is 284218381. The reversal of 284218380 is 83812482.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (284218381) 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 23 ways as a sum of consecutive naturals, for example, 16644 + ... + 29076.

Almost surely, 2^284218380 is an apocalyptic number.

284218380 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 284218380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434493696).

284218380 is an abundant number, since it is smaller than the sum of its proper divisors (584769012).

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

284218380 is a wasteful number, since it uses less digits than its factorization.

284218380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12575 (or 12570 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 284218380 is about 16858.7775357527. Note that the first 3 decimals coincide. The cubic root of 284218380 is about 657.4822810841.

The spelling of 284218380 in words is "two hundred eighty-four million, two hundred eighteen thousand, three hundred eighty".