284300064 has 96 divisors (see below), whose sum is σ = 832870080. Its totient is φ = 94348800.

The previous prime is 284300063. The next prime is 284300089. The reversal of 284300064 is 460003482.

284300064 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (284300063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242199 + ... + 243369.

It is an arithmetic number, because the mean of its divisors is an integer number (8675730).

Almost surely, 2^284300064 is an apocalyptic number.

284300064 is a gapful number since it is divisible by the number (24) 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 284300064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416435040).

284300064 is an abundant number, since it is smaller than the sum of its proper divisors (548570016).

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

284300064 is a wasteful number, since it uses less digits than its factorization.

284300064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 284300064 is about 16861.1999572984. The cubic root of 284300064 is about 657.5452615740.

The spelling of 284300064 in words is "two hundred eighty-four million, three hundred thousand, sixty-four".