333642272 has 48 divisors (see below), whose sum is σ = 697600512. Its totient is φ = 156533760.

The previous prime is 333642263. The next prime is 333642293. The reversal of 333642272 is 272246333.

333642272 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 2×333642272² = 222634331330643968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233753 + ... + 235175.

It is an arithmetic number, because the mean of its divisors is an integer number (14533344).

Almost surely, 2^333642272 is an apocalyptic number.

333642272 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 333642272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348800256).

333642272 is an abundant number, since it is smaller than the sum of its proper divisors (363958240).

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

333642272 is a wasteful number, since it uses less digits than its factorization.

333642272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1873 counting only the distinct ones).

The product of its digits is 36288, while the sum is 32.

The square root of 333642272 is about 18265.8772578817. The cubic root of 333642272 is about 693.5754143158.

The spelling of 333642272 in words is "three hundred thirty-three million, six hundred forty-two thousand, two hundred seventy-two".