233950464 has 288 divisors, whose sum is σ = 803537280. Its totient is φ = 66355200.

The previous prime is 233950463. The next prime is 233950489. The reversal of 233950464 is 464059332.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233950463) 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 31 ways as a sum of consecutive naturals, for example, 1292454 + ... + 1292634.

It is an arithmetic number, because the mean of its divisors is an integer number (2790060).

Almost surely, 2^233950464 is an apocalyptic number.

233950464 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 233950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401768640).

233950464 is an abundant number, since it is smaller than the sum of its proper divisors (569586816).

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

233950464 is a wasteful number, since it uses less digits than its factorization.

233950464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 233950464 is about 15295.4393202680. The cubic root of 233950464 is about 616.1805284116.

The spelling of 233950464 in words is "two hundred thirty-three million, nine hundred fifty thousand, four hundred sixty-four".