233748480 has 192 divisors, whose sum is σ = 855429120. Its totient is φ = 53379072.

The previous prime is 233748479. The next prime is 233748601. The reversal of 233748480 is 84847332.

It is a tau number, because it is divible by the number of its divisors (192).

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, 214497 + ... + 215583.

It is an arithmetic number, because the mean of its divisors is an integer number (4455360).

Almost surely, 2^233748480 is an apocalyptic number.

233748480 is a gapful number since it is divisible by the number (20) 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 233748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427714560).

233748480 is an abundant number, since it is smaller than the sum of its proper divisors (621680640).

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

233748480 is a wasteful number, since it uses less digits than its factorization.

233748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 233748480 is about 15288.8351420244. The cubic root of 233748480 is about 616.0031483507.

The spelling of 233748480 in words is "two hundred thirty-three million, seven hundred forty-eight thousand, four hundred eighty".