233957440 has 28 divisors (see below), whose sum is σ = 557111916. Its totient is φ = 93582848.

The previous prime is 233957429. The next prime is 233957441. The reversal of 233957440 is 44759332.

233957440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 131056704 + 102900736 = 11448^2 + 10144^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 233957440.

It is not an unprimeable number, because it can be changed into a prime (233957441) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 365239 + ... + 365878.

Almost surely, 2^233957440 is an apocalyptic number.

233957440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233957440 is an abundant number, since it is smaller than the sum of its proper divisors (323154476).

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

233957440 is an equidigital number, since it uses as much as digits as its factorization.

233957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731134 (or 731124 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 233957440 is about 15295.6673603998. The cubic root of 233957440 is about 616.1866528315.

The spelling of 233957440 in words is "two hundred thirty-three million, nine hundred fifty-seven thousand, four hundred forty".