233964456 has 64 divisors (see below), whose sum is σ = 641779200. Its totient is φ = 70488000.

The previous prime is 233964391. The next prime is 233964457. The reversal of 233964456 is 654469332.

It is not an unprimeable number, because it can be changed into a prime (233964457) 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 15 ways as a sum of consecutive naturals, for example, 44781 + ... + 49731.

It is an arithmetic number, because the mean of its divisors is an integer number (10027800).

Almost surely, 2^233964456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233964456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320889600).

233964456 is an abundant number, since it is smaller than the sum of its proper divisors (407814744).

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

233964456 is a wasteful number, since it uses less digits than its factorization.

233964456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150 (or 5146 counting only the distinct ones).

The product of its digits is 466560, while the sum is 42.

The square root of 233964456 is about 15295.8967046721. The cubic root of 233964456 is about 616.1928122457.

It can be divided in two parts, 2339 and 64456, that added together give a triangular number (66795 = T₃₆₅).

The spelling of 233964456 in words is "two hundred thirty-three million, nine hundred sixty-four thousand, four hundred fifty-six".