284794272 has 288 divisors, whose sum is σ = 1000944000. Its totient is φ = 78744960.

The previous prime is 284794271. The next prime is 284794309. The reversal of 284794272 is 272497482.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×284794272² = 162215554728019968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (284794271) 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, 9186897 + ... + 9186927.

It is an arithmetic number, because the mean of its divisors is an integer number (3475500).

Almost surely, 2^284794272 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 284794272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500472000).

284794272 is an abundant number, since it is smaller than the sum of its proper divisors (716149728).

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

284794272 is an equidigital number, since it uses as much as digits as its factorization.

284794272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 43 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 284794272 is about 16875.8487786541. The cubic root of 284794272 is about 657.9260517471.

The spelling of 284794272 in words is "two hundred eighty-four million, seven hundred ninety-four thousand, two hundred seventy-two".