284952960 has 192 divisors, whose sum is σ = 1001342160. Its totient is φ = 74649600.

The previous prime is 284952917. The next prime is 284952973. The reversal of 284952960 is 69259482.

284952960 is a `hidden beast` number, since 28 + 49 + 529 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 350955 + ... + 351765.

Almost surely, 2^284952960 is an apocalyptic number.

284952960 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 284952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500671080).

284952960 is an abundant number, since it is smaller than the sum of its proper divisors (716389200).

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

284952960 is a wasteful number, since it uses less digits than its factorization.

284952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 284952960 is about 16880.5497540809. The cubic root of 284952960 is about 658.0482283426.

The spelling of 284952960 in words is "two hundred eighty-four million, nine hundred fifty-two thousand, nine hundred sixty".