233305464 has 96 divisors (see below), whose sum is σ = 701989200. Its totient is φ = 64350720.

The previous prime is 233305451. The next prime is 233305481. The reversal of 233305464 is 464503332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30684 + ... + 37524.

Almost surely, 2^233305464 is an apocalyptic number.

233305464 is a gapful number since it is divisible by the number (24) 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 233305464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350994600).

233305464 is an abundant number, since it is smaller than the sum of its proper divisors (468683736).

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

233305464 is a wasteful number, since it uses less digits than its factorization.

233305464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6882 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 233305464 is about 15274.3400512101. The cubic root of 233305464 is about 615.6137385625.

Adding to 233305464 its reverse (464503332), we get a palindrome (697808796).

The spelling of 233305464 in words is "two hundred thirty-three million, three hundred five thousand, four hundred sixty-four".