284135040 has 512 divisors, whose sum is σ = 1204416000. Its totient is φ = 62705664.

The previous prime is 284135029. The next prime is 284135041. The reversal of 284135040 is 40531482.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 284134995 and 284135013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284135041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9797746 + ... + 9797774.

It is an arithmetic number, because the mean of its divisors is an integer number (2352375).

Almost surely, 2^284135040 is an apocalyptic number.

284135040 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 284135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602208000).

284135040 is an abundant number, since it is smaller than the sum of its proper divisors (920280960).

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

284135040 is an frugal number, since it uses more digits than its factorization.

284135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 284135040 is about 16856.3056450694. The cubic root of 284135040 is about 657.4180113374.

The spelling of 284135040 in words is "two hundred eighty-four million, one hundred thirty-five thousand, forty".