284485584460 has 384 divisors, whose sum is σ = 799235942400. Its totient is φ = 82469560320.

The previous prime is 284485584451. The next prime is 284485584463. The reversal of 284485584460 is 64485584482.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 284485584395 and 284485584404.

It is not an unprimeable number, because it can be changed into a prime (284485584463) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176808136 + ... + 176809744.

It is an arithmetic number, because the mean of its divisors is an integer number (2081343600).

Almost surely, 2^284485584460 is an apocalyptic number.

284485584460 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 284485584460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399617971200).

284485584460 is an abundant number, since it is smaller than the sum of its proper divisors (514750357940).

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

284485584460 is a wasteful number, since it uses less digits than its factorization.

284485584460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 39321600, while the sum is 58.

The spelling of 284485584460 in words is "two hundred eighty-four billion, four hundred eighty-five million, five hundred eighty-four thousand, four hundred sixty".