284381104 has 60 divisors (see below), whose sum is σ = 661677888. Its totient is φ = 117936000.

The previous prime is 284381101. The next prime is 284381107. The reversal of 284381104 is 401183482.

It is an interprime number because it is at equal distance from previous prime (284381101) and next prime (284381107).

It is a super-2 number, since 2×284381104² = 161745224624517632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (284381101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18454 + ... + 30154.

Almost surely, 2^284381104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 284381104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330838944).

284381104 is an abundant number, since it is smaller than the sum of its proper divisors (377296784).

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

284381104 is a wasteful number, since it uses less digits than its factorization.

284381104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11754 (or 11741 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 284381104 is about 16863.6029365020. The cubic root of 284381104 is about 657.6077336031.

The spelling of 284381104 in words is "two hundred eighty-four million, three hundred eighty-one thousand, one hundred four".