333825120 has 72 divisors (see below), whose sum is σ = 1139183136. Its totient is φ = 89019648.

The previous prime is 333825097. The next prime is 333825133. The reversal of 333825120 is 21528333.

333825120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×333825120² = 222878421486028800, 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114472 + ... + 117351.

It is an arithmetic number, because the mean of its divisors is an integer number (15821988).

Almost surely, 2^333825120 is an apocalyptic number.

333825120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

333825120 is an abundant number, since it is smaller than the sum of its proper divisors (805358016).

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

333825120 is a wasteful number, since it uses less digits than its factorization.

333825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231844 (or 231833 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 333825120 is about 18270.8817521213. The cubic root of 333825120 is about 693.7020926256.

The spelling of 333825120 in words is "three hundred thirty-three million, eight hundred twenty-five thousand, one hundred twenty".