233504080 has 40 divisors (see below), whose sum is σ = 543829032. Its totient is φ = 93241344.

The previous prime is 233504071. The next prime is 233504081. The reversal of 233504080 is 80405332.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 230918416 = 1608^2 + 15196^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233504081) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 51672 + ... + 56008.

Almost surely, 2^233504080 is an apocalyptic number.

233504080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233504080 is an abundant number, since it is smaller than the sum of its proper divisors (310324952).

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

233504080 is a wasteful number, since it uses less digits than its factorization.

233504080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 233504080 is about 15280.8402910311. The cubic root of 233504080 is about 615.7883823617.

The spelling of 233504080 in words is "two hundred thirty-three million, five hundred four thousand, eighty".