233788464 has 320 divisors, whose sum is σ = 872166400. Its totient is φ = 58226688.

The previous prime is 233788447. The next prime is 233788501. The reversal of 233788464 is 464887332.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746772 + ... + 747084.

It is an arithmetic number, because the mean of its divisors is an integer number (2725520).

Almost surely, 2^233788464 is an apocalyptic number.

233788464 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 233788464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436083200).

233788464 is an abundant number, since it is smaller than the sum of its proper divisors (638377936).

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

233788464 is a wasteful number, since it uses less digits than its factorization.

233788464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 357 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 233788464 is about 15290.1427069861. The cubic root of 233788464 is about 616.0382699561.

The spelling of 233788464 in words is "two hundred thirty-three million, seven hundred eighty-eight thousand, four hundred sixty-four".