333472 has 24 divisors (see below), whose sum is σ = 696276. Its totient is φ = 156672.

The previous prime is 333457. The next prime is 333479. The reversal of 333472 is 274333.

It can be written as a sum of positive squares in 2 ways, for example, as 318096 + 15376 = 564^2 + 124^2 .

It is a super-2 number, since 2×333472² = 222407149568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (333479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 850.

2³³³⁴⁷² is an apocalyptic number.

333472 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 333472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348138).

333472 is an abundant number, since it is smaller than the sum of its proper divisors (362804).

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

333472 is a wasteful number, since it uses less digits than its factorization.

333472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 632 counting only the distinct ones).

The product of its digits is 1512, while the sum is 22.

The square root of 333472 is about 577.4703455590. The cubic root of 333472 is about 69.3457407118.

The spelling of 333472 in words is "three hundred thirty-three thousand, four hundred seventy-two".