233375040 has 112 divisors (see below), whose sum is σ = 823325760. Its totient is φ = 62231040.

The previous prime is 233375029. The next prime is 233375041. The reversal of 233375040 is 40573332.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 233374995 and 233375013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233375041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4866 + ... + 22145.

Almost surely, 2^233375040 is an apocalyptic number.

233375040 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 233375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411662880).

233375040 is an abundant number, since it is smaller than the sum of its proper divisors (589950720).

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

233375040 is a wasteful number, since it uses less digits than its factorization.

233375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27037 (or 27021 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 27.

The square root of 233375040 is about 15276.6174266426. The cubic root of 233375040 is about 615.6749282773.

The spelling of 233375040 in words is "two hundred thirty-three million, three hundred seventy-five thousand, forty".