233976240 has 240 divisors, whose sum is σ = 835660800. Its totient is φ = 58544640.

The previous prime is 233976233. The next prime is 233976247. The reversal of 233976240 is 42679332.

It is a happy number.

233976240 is a `hidden beast` number, since 23 + 3 + 9 + 7 + 624 + 0 = 666.

233976240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233976233) and next prime (233976247).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 233976195 and 233976204.

It is not an unprimeable number, because it can be changed into a prime (233976247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175661 + ... + 1175859.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2^233976240 is an apocalyptic number.

233976240 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 233976240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417830400).

233976240 is an abundant number, since it is smaller than the sum of its proper divisors (601684560).

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

233976240 is a wasteful number, since it uses less digits than its factorization.

233976240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 233976240 is about 15296.2819011680. The cubic root of 233976240 is about 616.2031572561.

The spelling of 233976240 in words is "two hundred thirty-three million, nine hundred seventy-six thousand, two hundred forty".