233925120 has 480 divisors, whose sum is σ = 965188224. Its totient is φ = 51609600.

The previous prime is 233925119. The next prime is 233925121. The reversal of 233925120 is 21529332.

It is an interprime number because it is at equal distance from previous prime (233925119) and next prime (233925121).

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (233925121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3294685 + ... + 3294755.

Almost surely, 2^233925120 is an apocalyptic number.

233925120 is a gapful number since it is divisible by the number (20) 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 233925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482594112).

233925120 is an abundant number, since it is smaller than the sum of its proper divisors (731263104).

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

233925120 is a wasteful number, since it uses less digits than its factorization.

233925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 233925120 is about 15294.6108155781. The cubic root of 233925120 is about 616.1582772008.

The spelling of 233925120 in words is "two hundred thirty-three million, nine hundred twenty-five thousand, one hundred twenty".