284745120 has 192 divisors, whose sum is σ = 987033600. Its totient is φ = 68428800.

The previous prime is 284745119. The next prime is 284745127. The reversal of 284745120 is 21547482.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (284745127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050585 + ... + 1050855.

It is an arithmetic number, because the mean of its divisors is an integer number (5140800).

Almost surely, 2^284745120 is an apocalyptic number.

284745120 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 284745120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493516800).

284745120 is an abundant number, since it is smaller than the sum of its proper divisors (702288480).

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

284745120 is a wasteful number, since it uses less digits than its factorization.

284745120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 284745120 is about 16874.3924335071. The cubic root of 284745120 is about 657.8881995791. Note that the first 3 decimals are identical.

The spelling of 284745120 in words is "two hundred eighty-four million, seven hundred forty-five thousand, one hundred twenty".