284873904 has 240 divisors, whose sum is σ = 957063744. Its totient is φ = 77414400.

The previous prime is 284873903. The next prime is 284873923. The reversal of 284873904 is 409378482.

It is a self number, because there is not a number n which added to its sum of digits gives 284873904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284873903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2520952 + ... + 2521064.

Almost surely, 2^284873904 is an apocalyptic number.

284873904 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 284873904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478531872).

284873904 is an abundant number, since it is smaller than the sum of its proper divisors (672189840).

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

284873904 is a wasteful number, since it uses less digits than its factorization.

284873904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 284873904 is about 16878.2079617476. The cubic root of 284873904 is about 657.9873674524.

The spelling of 284873904 in words is "two hundred eighty-four million, eight hundred seventy-three thousand, nine hundred four".