284248224 has 96 divisors (see below), whose sum is σ = 892866240. Its totient is φ = 87457536.

The previous prime is 284248193. The next prime is 284248249. The reversal of 284248224 is 422842482.

It is a happy number.

284248224 is a `hidden beast` number, since 2 + 8 + 424 + 8 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1422 + ... + 23885.

It is an arithmetic number, because the mean of its divisors is an integer number (9300690).

Almost surely, 2^284248224 is an apocalyptic number.

284248224 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 284248224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446433120).

284248224 is an abundant number, since it is smaller than the sum of its proper divisors (608618016).

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

284248224 is a wasteful number, since it uses less digits than its factorization.

284248224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25339 (or 25325 counting only the distinct ones).

The product of its digits is 65536, while the sum is 36.

The square root of 284248224 is about 16859.6626300766. The cubic root of 284248224 is about 657.5052929836.

The spelling of 284248224 in words is "two hundred eighty-four million, two hundred forty-eight thousand, two hundred twenty-four".