284544960 has 336 divisors, whose sum is σ = 1100791296. Its totient is φ = 61974528.

The previous prime is 284544943. The next prime is 284544973. The reversal of 284544960 is 69445482.

284544960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×284544960² = 161931668522803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1081789 + ... + 1082051.

Almost surely, 2^284544960 is an apocalyptic number.

284544960 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 284544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550395648).

284544960 is an abundant number, since it is smaller than the sum of its proper divisors (816246336).

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

284544960 is a wasteful number, since it uses less digits than its factorization.

284544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 284544960 is about 16868.4605106690. The cubic root of 284544960 is about 657.7340104932.

The spelling of 284544960 in words is "two hundred eighty-four million, five hundred forty-four thousand, nine hundred sixty".