284904864 has 216 divisors, whose sum is σ = 892775520. Its totient is φ = 89299584.

The previous prime is 284904857. The next prime is 284904869. The reversal of 284904864 is 468409482.

284904864 is a `hidden beast` number, since 2 + 84 + 90 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is not an unprimeable number, because it can be changed into a prime (284904869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4828867 + ... + 4828925.

It is an arithmetic number, because the mean of its divisors is an integer number (4133220).

Almost surely, 2^284904864 is an apocalyptic number.

284904864 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 284904864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446387760).

284904864 is an abundant number, since it is smaller than the sum of its proper divisors (607870656).

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

284904864 is an frugal number, since it uses more digits than its factorization.

284904864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 284904864 is about 16879.1250958099. The cubic root of 284904864 is about 658.0112032041.

The spelling of 284904864 in words is "two hundred eighty-four million, nine hundred four thousand, eight hundred sixty-four".