284938640 has 80 divisors (see below), whose sum is σ = 774795648. Its totient is φ = 95413248.

The previous prime is 284938631. The next prime is 284938669. The reversal of 284938640 is 46839482.

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 = 284938591 and 284938600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18164 + ... + 29996.

Almost surely, 2^284938640 is an apocalyptic number.

284938640 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 284938640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387397824).

284938640 is an abundant number, since it is smaller than the sum of its proper divisors (489857008).

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

284938640 is a wasteful number, since it uses less digits than its factorization.

284938640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11896 (or 11890 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 284938640 is about 16880.1255919498. The cubic root of 284938640 is about 658.0372049928.

The spelling of 284938640 in words is "two hundred eighty-four million, nine hundred thirty-eight thousand, six hundred forty".