333225792 has 112 divisors (see below), whose sum is σ = 992428800. Its totient is φ = 109624320.

The previous prime is 333225779. The next prime is 333225793. The reversal of 333225792 is 297522333.

It is a super-2 number, since 2×333225792² = 222078856908054528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333225793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135292 + ... + 137732.

Almost surely, 2^333225792 is an apocalyptic number.

333225792 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 333225792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496214400).

333225792 is an abundant number, since it is smaller than the sum of its proper divisors (659203008).

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

333225792 is a wasteful number, since it uses less digits than its factorization.

333225792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2525 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The square root of 333225792 is about 18254.4732052174. The cubic root of 333225792 is about 693.2867013345.

The spelling of 333225792 in words is "three hundred thirty-three million, two hundred twenty-five thousand, seven hundred ninety-two".