233366420 has 72 divisors (see below), whose sum is σ = 580966344. Its totient is φ = 78484224.

The previous prime is 233366407. The next prime is 233366453. The reversal of 233366420 is 24663332.

233366420 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 119858704 + 113507716 = 10948^2 + 10654^2 .

233366420 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49694 + ... + 54186.

It is an arithmetic number, because the mean of its divisors is an integer number (8068977).

Almost surely, 2^233366420 is an apocalyptic number.

233366420 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 233366420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290483172).

233366420 is an abundant number, since it is smaller than the sum of its proper divisors (347599924).

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

233366420 is a wasteful number, since it uses less digits than its factorization.

233366420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4560 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 29.

The square root of 233366420 is about 15276.3352935185. The cubic root of 233366420 is about 615.6673479419.

The spelling of 233366420 in words is "two hundred thirty-three million, three hundred sixty-six thousand, four hundred twenty".