284244080 has 80 divisors (see below), whose sum is σ = 723971520. Its totient is φ = 103305216.

The previous prime is 284244067. The next prime is 284244089. The reversal of 284244080 is 80442482.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284244089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35837 + ... + 43043.

It is an arithmetic number, because the mean of its divisors is an integer number (9049644).

Almost surely, 2^284244080 is an apocalyptic number.

284244080 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 284244080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361985760).

284244080 is an abundant number, since it is smaller than the sum of its proper divisors (439727440).

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

284244080 is a wasteful number, since it uses less digits than its factorization.

284244080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7266 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The square root of 284244080 is about 16859.5397327448. The cubic root of 284244080 is about 657.5020977539.

The spelling of 284244080 in words is "two hundred eighty-four million, two hundred forty-four thousand, eighty".