284466240 has 84 divisors (see below), whose sum is σ = 978455244. Its totient is φ = 75856896.

The previous prime is 284466239. The next prime is 284466331. The reversal of 284466240 is 42664482.

It is a happy number.

284466240 is a `hidden beast` number, since 28 + 4 + 4 + 6 + 624 + 0 = 666.

284466240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 153958464 + 130507776 = 12408^2 + 11424^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 284466195 and 284466204.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 46507 + ... + 52266.

Almost surely, 2^284466240 is an apocalyptic number.

284466240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284466240 is an abundant number, since it is smaller than the sum of its proper divisors (693989004).

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

284466240 is a wasteful number, since it uses less digits than its factorization.

284466240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98796 (or 98783 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 284466240 is about 16866.1270005891. The cubic root of 284466240 is about 657.6733503702.

The spelling of 284466240 in words is "two hundred eighty-four million, four hundred sixty-six thousand, two hundred forty".