233020400 has 30 divisors (see below), whose sum is σ = 559832472. Its totient is φ = 93208000.

The previous prime is 233020379. The next prime is 233020421. The reversal of 233020400 is 4020332.

It is an interprime number because it is at equal distance from previous prime (233020379) and next prime (233020421).

It is a super-3 number, since 3×233020400³ (a number of 26 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 290876 + ... + 291675.

Almost surely, 2^233020400 is an apocalyptic number.

233020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233020400 is an abundant number, since it is smaller than the sum of its proper divisors (326812072).

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

233020400 is a wasteful number, since it uses less digits than its factorization.

233020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582569 (or 582558 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 233020400 is about 15265.0057320657. The cubic root of 233020400 is about 615.3629074073.

Adding to 233020400 its reverse (4020332), we get a palindrome (237040732).

The spelling of 233020400 in words is "two hundred thirty-three million, twenty thousand, four hundred".