284927040 has 336 divisors, whose sum is σ = 1065093120. Its totient is φ = 69672960.

The previous prime is 284927023. The next prime is 284927051. The reversal of 284927040 is 40729482.

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 = 284926986 and 284927004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2243457 + ... + 2243583.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2^284927040 is an apocalyptic number.

284927040 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 284927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532546560).

284927040 is an abundant number, since it is smaller than the sum of its proper divisors (780166080).

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

284927040 is a wasteful number, since it uses less digits than its factorization.

284927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 284927040 is about 16879.7819891135. The cubic root of 284927040 is about 658.0282751928.

The spelling of 284927040 in words is "two hundred eighty-four million, nine hundred twenty-seven thousand, forty".