233955040 has 48 divisors (see below), whose sum is σ = 602970480. Its totient is φ = 85073920.

The previous prime is 233955017. The next prime is 233955077. The reversal of 233955040 is 40559332.

It is a junction number, because it is equal to n+sod(n) for n = 233954993 and 233955011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64705 + ... + 68224.

It is an arithmetic number, because the mean of its divisors is an integer number (12561885).

Almost surely, 2^233955040 is an apocalyptic number.

233955040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233955040 is an abundant number, since it is smaller than the sum of its proper divisors (369015440).

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

233955040 is a wasteful number, since it uses less digits than its factorization.

233955040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132955 (or 132947 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 233955040 is about 15295.5889066096. The cubic root of 233955040 is about 616.1845458201.

The spelling of 233955040 in words is "two hundred thirty-three million, nine hundred fifty-five thousand, forty".