333285472 has 48 divisors (see below), whose sum is σ = 710165232. Its totient is φ = 153054720.

The previous prime is 333285467. The next prime is 333285473. The reversal of 333285472 is 274582333.

333285472 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×333285472² = 222158411692525568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333285473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85878 + ... + 89674.

It is an arithmetic number, because the mean of its divisors is an integer number (14795109).

Almost surely, 2^333285472 is an apocalyptic number.

333285472 is a gapful number since it is divisible by the number (32) 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 333285472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355082616).

333285472 is an abundant number, since it is smaller than the sum of its proper divisors (376879760).

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

333285472 is a wasteful number, since it uses less digits than its factorization.

333285472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4023 counting only the distinct ones).

The product of its digits is 120960, while the sum is 37.

The square root of 333285472 is about 18256.1077998570. The cubic root of 333285472 is about 693.3280875671.

It can be divided in two parts, 3332 and 85472, that added together give a square (88804 = 298²).

The spelling of 333285472 in words is "three hundred thirty-three million, two hundred eighty-five thousand, four hundred seventy-two".