284393040 has 80 divisors (see below), whose sum is σ = 885318336. Its totient is φ = 75520000.

The previous prime is 284393029. The next prime is 284393047. The reversal of 284393040 is 40393482.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 284392992 and 284393010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284393047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57880 + ... + 62600.

Almost surely, 2^284393040 is an apocalyptic number.

284393040 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 284393040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442659168).

284393040 is an abundant number, since it is smaller than the sum of its proper divisors (600925296).

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

284393040 is a wasteful number, since it uses less digits than its factorization.

284393040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 284393040 is about 16863.9568310643. The cubic root of 284393040 is about 657.6169338113.

The spelling of 284393040 in words is "two hundred eighty-four million, three hundred ninety-three thousand, forty".