233010400 has 72 divisors (see below), whose sum is σ = 650114640. Its totient is φ = 79887360.

The previous prime is 233010383. The next prime is 233010403. The reversal of 233010400 is 4010332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233010403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15205 + ... + 26404.

It is an arithmetic number, because the mean of its divisors is an integer number (9029370).

Almost surely, 2^233010400 is an apocalyptic number.

233010400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233010400 is an abundant number, since it is smaller than the sum of its proper divisors (417104240).

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

233010400 is a wasteful number, since it uses less digits than its factorization.

233010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41636 (or 41623 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 233010400 is about 15264.6781819991. The cubic root of 233010400 is about 615.3541045770.

Adding to 233010400 its reverse (4010332), we get a palindrome (237020732).

The spelling of 233010400 in words is "two hundred thirty-three million, ten thousand, four hundred".