233464704 has 128 divisors (see below), whose sum is σ = 712368000. Its totient is φ = 67000320.

The previous prime is 233464661. The next prime is 233464729. The reversal of 233464704 is 407464332.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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, 78802 + ... + 81710.

It is an arithmetic number, because the mean of its divisors is an integer number (5565375).

Almost surely, 2^233464704 is an apocalyptic number.

233464704 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 233464704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356184000).

233464704 is an abundant number, since it is smaller than the sum of its proper divisors (478903296).

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

233464704 is a wasteful number, since it uses less digits than its factorization.

233464704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 33.

The square root of 233464704 is about 15279.5518258881. The cubic root of 233464704 is about 615.7537667689.

The spelling of 233464704 in words is "two hundred thirty-three million, four hundred sixty-four thousand, seven hundred four".