284604960 has 96 divisors (see below), whose sum is σ = 917421120. Its totient is φ = 74124288.

The previous prime is 284604911. The next prime is 284604961. The reversal of 284604960 is 69406482.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (284604961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13746 + ... + 27534.

It is an arithmetic number, because the mean of its divisors is an integer number (9556470).

Almost surely, 2^284604960 is an apocalyptic number.

284604960 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 284604960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458710560).

284604960 is an abundant number, since it is smaller than the sum of its proper divisors (632816160).

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

284604960 is a wasteful number, since it uses less digits than its factorization.

284604960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13850 (or 13842 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 284604960 is about 16870.2388839044. The cubic root of 284604960 is about 657.7802378300.

The spelling of 284604960 in words is "two hundred eighty-four million, six hundred four thousand, nine hundred sixty".