284332080 has 80 divisors (see below), whose sum is σ = 893558880. Its totient is φ = 74778624.

The previous prime is 284332051. The next prime is 284332091. The reversal of 284332080 is 80233482.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9406 + ... + 25634.

It is an arithmetic number, because the mean of its divisors is an integer number (11169486).

Almost surely, 2^284332080 is an apocalyptic number.

284332080 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 284332080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446779440).

284332080 is an abundant number, since it is smaller than the sum of its proper divisors (609226800).

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

284332080 is a wasteful number, since it uses less digits than its factorization.

284332080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16318 (or 16312 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 284332080 is about 16862.1493291929. The cubic root of 284332080 is about 657.5699434525.

The spelling of 284332080 in words is "two hundred eighty-four million, three hundred thirty-two thousand, eighty".