284374272 has 216 divisors, whose sum is σ = 939618624. Its totient is φ = 74760192.

The previous prime is 284374229. The next prime is 284374291. The reversal of 284374272 is 272473482.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a self number, because there is not a number n which added to its sum of digits gives 284374272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908388 + ... + 908700.

Almost surely, 2^284374272 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 284374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469809312).

284374272 is an abundant number, since it is smaller than the sum of its proper divisors (655244352).

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

284374272 is a wasteful number, since it uses less digits than its factorization.

284374272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 338 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 284374272 is about 16863.4003688461. The cubic root of 284374272 is about 657.6024674163.

The spelling of 284374272 in words is "two hundred eighty-four million, three hundred seventy-four thousand, two hundred seventy-two".