284472832 has 240 divisors, whose sum is σ = 755710560. Its totient is φ = 105971712.

The previous prime is 284472827. The next prime is 284472847. The reversal of 284472832 is 238274482.

It is a happy number.

It is a super-2 number, since 2×284472832² = 161849584292200448, which contains 22 as substring.

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, 9809394 + ... + 9809422.

It is an arithmetic number, because the mean of its divisors is an integer number (3148794).

Almost surely, 2^284472832 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 284472832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377855280).

284472832 is an abundant number, since it is smaller than the sum of its proper divisors (471237728).

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

284472832 is a wasteful number, since it uses less digits than its factorization.

284472832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 78 counting only the distinct ones).

The product of its digits is 172032, while the sum is 40.

The square root of 284472832 is about 16866.3224207294. The cubic root of 284472832 is about 657.6784304684.

The spelling of 284472832 in words is "two hundred eighty-four million, four hundred seventy-two thousand, eight hundred thirty-two".