284947488 has 144 divisors (see below), whose sum is σ = 931222656. Its totient is φ = 80962560.

The previous prime is 284947477. The next prime is 284947493. The reversal of 284947488 is 884749482.

284947488 is a `hidden beast` number, since 2 + 8 + 494 + 74 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 566245 + ... + 566747.

It is an arithmetic number, because the mean of its divisors is an integer number (6466824).

Almost surely, 2^284947488 is an apocalyptic number.

284947488 is a gapful number since it is divisible by the number (28) 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 284947488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465611328).

284947488 is an abundant number, since it is smaller than the sum of its proper divisors (646275168).

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

284947488 is a wasteful number, since it uses less digits than its factorization.

284947488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 796 counting only the distinct ones).

The product of its digits is 4128768, while the sum is 54.

The square root of 284947488 is about 16880.3876732734. The cubic root of 284947488 is about 658.0440161118.

The spelling of 284947488 in words is "two hundred eighty-four million, nine hundred forty-seven thousand, four hundred eighty-eight".