233035380 has 240 divisors, whose sum is σ = 787913280. Its totient is φ = 57480192.

The previous prime is 233035367. The next prime is 233035403. The reversal of 233035380 is 83530332.

It is a happy number.

233035380 is a `hidden beast` number, since 233 + 0 + 353 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 2062204 + ... + 2062316.

It is an arithmetic number, because the mean of its divisors is an integer number (3282972).

Almost surely, 2^233035380 is an apocalyptic number.

233035380 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 233035380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393956640).

233035380 is an abundant number, since it is smaller than the sum of its proper divisors (554877900).

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

233035380 is a wasteful number, since it uses less digits than its factorization.

233035380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 233035380 is about 15265.4963889158. The cubic root of 233035380 is about 615.3760935759.

The spelling of 233035380 in words is "two hundred thirty-three million, thirty-five thousand, three hundred eighty".