284516229240 has 192 divisors, whose sum is σ = 959354847360. Its totient is φ = 75836995200.

The previous prime is 284516229197. The next prime is 284516229241. The reversal of 284516229240 is 42922615482.

284516229240 is a `hidden beast` number, since 2 + 8 + 4 + 516 + 2 + 2 + 92 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284516229241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27706587 + ... + 27716853.

It is an arithmetic number, because the mean of its divisors is an integer number (4996639830).

Almost surely, 2^284516229240 is an apocalyptic number.

284516229240 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 284516229240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479677423680).

284516229240 is an abundant number, since it is smaller than the sum of its proper divisors (674838618120).

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

284516229240 is a wasteful number, since it uses less digits than its factorization.

284516229240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13144 (or 13128 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 284516229240 in words is "two hundred eighty-four billion, five hundred sixteen million, two hundred twenty-nine thousand, two hundred forty".