233792480 has 96 divisors (see below), whose sum is σ = 568469664. Its totient is φ = 90832896.

The previous prime is 233792459. The next prime is 233792509. The reversal of 233792480 is 84297332.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1211264 + ... + 1211456.

It is an arithmetic number, because the mean of its divisors is an integer number (5921559).

Almost surely, 2^233792480 is an apocalyptic number.

233792480 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 233792480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284234832).

233792480 is an abundant number, since it is smaller than the sum of its proper divisors (334677184).

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

233792480 is a wasteful number, since it uses less digits than its factorization.

233792480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 233792480 is about 15290.2740328615. The cubic root of 233792480 is about 616.0417973550.

The spelling of 233792480 in words is "two hundred thirty-three million, seven hundred ninety-two thousand, four hundred eighty".