284050404 has 108 divisors (see below), whose sum is σ = 802913020. Its totient is φ = 84585600.

The previous prime is 284050387. The next prime is 284050451. The reversal of 284050404 is 404050482.

It can be written as a sum of positive squares in 2 ways, for example, as 57608100 + 226442304 = 7590^2 + 15048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 265182 + ... + 266250.

Almost surely, 2^284050404 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 284050404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401456510).

284050404 is an abundant number, since it is smaller than the sum of its proper divisors (518862616).

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

284050404 is a wasteful number, since it uses less digits than its factorization.

284050404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 284050404 is about 16853.7949435728. The cubic root of 284050404 is about 657.3527292842.

The spelling of 284050404 in words is "two hundred eighty-four million, fifty thousand, four hundred four".