233924040 has 288 divisors, whose sum is σ = 900315000. Its totient is φ = 52512768.

The previous prime is 233924039. The next prime is 233924077. The reversal of 233924040 is 40429332.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 102454884 + 131469156 = 10122^2 + 11466^2 .

It is a junction number, because it is equal to n+sod(n) for n = 233923995 and 233924013.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1569886 + ... + 1570034.

Almost surely, 2^233924040 is an apocalyptic number.

233924040 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 233924040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450157500).

233924040 is an abundant number, since it is smaller than the sum of its proper divisors (666390960).

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

233924040 is a wasteful number, since it uses less digits than its factorization.

233924040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 233924040 is about 15294.5755089836. The cubic root of 233924040 is about 616.1573289601.

The spelling of 233924040 in words is "two hundred thirty-three million, nine hundred twenty-four thousand, forty".